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Finding the Third Proportional to 24,657.75 and 36,120.38

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Solution

The third proportional to 24,657.75 and 36,120.38 is: 52,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657.75 : 36,120.38 = 36,120.38 : x
  2. Step 2: Convert to fraction form
    24,657.75/36,120.38 = 36,120.38/x
  3. Step 3: Cross multiply
    24,657.75x = 36,120.38 × 36,120.38
  4. Step 4: Simplify right side
    24,657.75x = 1,304,681,490.14
  5. Step 5: Solve for x
    x = 1,304,681,490.14/24,657.75
  6. Step 6: Final answer
    x = 52,911.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.