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Finding the Third Proportional to 10,864.13 and 25,197.75

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Solution

The third proportional to 10,864.13 and 25,197.75 is: 58,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.13 : 25,197.75 = 25,197.75 : x
  2. Step 2: Convert to fraction form
    10,864.13/25,197.75 = 25,197.75/x
  3. Step 3: Cross multiply
    10,864.13x = 25,197.75 × 25,197.75
  4. Step 4: Simplify right side
    10,864.13x = 634,926,605.06
  5. Step 5: Solve for x
    x = 634,926,605.06/10,864.13
  6. Step 6: Final answer
    x = 58,442.50

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.