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Finding the Third Proportional to 20,999.25 and 31,937.63

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Solution

The third proportional to 20,999.25 and 31,937.63 is: 48,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.25 : 31,937.63 = 31,937.63 : x
  2. Step 2: Convert to fraction form
    20,999.25/31,937.63 = 31,937.63/x
  3. Step 3: Cross multiply
    20,999.25x = 31,937.63 × 31,937.63
  4. Step 4: Simplify right side
    20,999.25x = 1,020,011,890.64
  5. Step 5: Solve for x
    x = 1,020,011,890.64/20,999.25
  6. Step 6: Final answer
    x = 48,573.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.