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Finding the Third Proportional to 20,113.31 and 31,897.13

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Solution

The third proportional to 20,113.31 and 31,897.13 is: 50,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113.31 : 31,897.13 = 31,897.13 : x
  2. Step 2: Convert to fraction form
    20,113.31/31,897.13 = 31,897.13/x
  3. Step 3: Cross multiply
    20,113.31x = 31,897.13 × 31,897.13
  4. Step 4: Simplify right side
    20,113.31x = 1,017,426,583.27
  5. Step 5: Solve for x
    x = 1,017,426,583.27/20,113.31
  6. Step 6: Final answer
    x = 50,584.74

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.