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Finding the Third Proportional to 20,445.75 and 31,262.63

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Solution

The third proportional to 20,445.75 and 31,262.63 is: 47,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,445.75 : 31,262.63 = 31,262.63 : x
  2. Step 2: Convert to fraction form
    20,445.75/31,262.63 = 31,262.63/x
  3. Step 3: Cross multiply
    20,445.75x = 31,262.63 × 31,262.63
  4. Step 4: Simplify right side
    20,445.75x = 977,351,721.89
  5. Step 5: Solve for x
    x = 977,351,721.89/20,445.75
  6. Step 6: Final answer
    x = 47,802.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.