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Finding the Third Proportional to 10,297.13 and 24,517.69

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Solution

The third proportional to 10,297.13 and 24,517.69 is: 58,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.13 : 24,517.69 = 24,517.69 : x
  2. Step 2: Convert to fraction form
    10,297.13/24,517.69 = 24,517.69/x
  3. Step 3: Cross multiply
    10,297.13x = 24,517.69 × 24,517.69
  4. Step 4: Simplify right side
    10,297.13x = 601,117,000.35
  5. Step 5: Solve for x
    x = 601,117,000.35/10,297.13
  6. Step 6: Final answer
    x = 58,377.17

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.