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Finding the Third Proportional to 13,972.31 and 21,139.13

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Solution

The third proportional to 13,972.31 and 21,139.13 is: 31,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.31 : 21,139.13 = 21,139.13 : x
  2. Step 2: Convert to fraction form
    13,972.31/21,139.13 = 21,139.13/x
  3. Step 3: Cross multiply
    13,972.31x = 21,139.13 × 21,139.13
  4. Step 4: Simplify right side
    13,972.31x = 446,862,605.77
  5. Step 5: Solve for x
    x = 446,862,605.77/13,972.31
  6. Step 6: Final answer
    x = 31,982.01

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