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Finding the Third Proportional to 31,937.63 and 48,353.63

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Solution

The third proportional to 31,937.63 and 48,353.63 is: 73,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,937.63 : 48,353.63 = 48,353.63 : x
  2. Step 2: Convert to fraction form
    31,937.63/48,353.63 = 48,353.63/x
  3. Step 3: Cross multiply
    31,937.63x = 48,353.63 × 48,353.63
  4. Step 4: Simplify right side
    31,937.63x = 2,338,073,050.64
  5. Step 5: Solve for x
    x = 2,338,073,050.64/31,937.63
  6. Step 6: Final answer
    x = 73,207.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.