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Finding the Third Proportional to 20,732.56 and 31,248.19

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Solution

The third proportional to 20,732.56 and 31,248.19 is: 47,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.56 : 31,248.19 = 31,248.19 : x
  2. Step 2: Convert to fraction form
    20,732.56/31,248.19 = 31,248.19/x
  3. Step 3: Cross multiply
    20,732.56x = 31,248.19 × 31,248.19
  4. Step 4: Simplify right side
    20,732.56x = 976,449,222.04
  5. Step 5: Solve for x
    x = 976,449,222.04/20,732.56
  6. Step 6: Final answer
    x = 47,097.37

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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.