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Finding the Third Proportional to 16,454.13 and 25,296.38

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Solution

The third proportional to 16,454.13 and 25,296.38 is: 38,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.13 : 25,296.38 = 25,296.38 : x
  2. Step 2: Convert to fraction form
    16,454.13/25,296.38 = 25,296.38/x
  3. Step 3: Cross multiply
    16,454.13x = 25,296.38 × 25,296.38
  4. Step 4: Simplify right side
    16,454.13x = 639,906,588.14
  5. Step 5: Solve for x
    x = 639,906,588.14/16,454.13
  6. Step 6: Final answer
    x = 38,890.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.