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Finding the Third Proportional to 16,197.47 and 25,139.11

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Solution

The third proportional to 16,197.47 and 25,139.11 is: 39,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.47 : 25,139.11 = 25,139.11 : x
  2. Step 2: Convert to fraction form
    16,197.47/25,139.11 = 25,139.11/x
  3. Step 3: Cross multiply
    16,197.47x = 25,139.11 × 25,139.11
  4. Step 4: Simplify right side
    16,197.47x = 631,974,820.17
  5. Step 5: Solve for x
    x = 631,974,820.17/16,197.47
  6. Step 6: Final answer
    x = 39,016.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.