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Finding the Third Proportional to 24,810 and 36,120

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Solution

The third proportional to 24,810 and 36,120 is: 52,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,810 : 36,120 = 36,120 : x
  2. Step 2: Convert to fraction form
    24,810/36,120 = 36,120/x
  3. Step 3: Cross multiply
    24,810x = 36,120 × 36,120
  4. Step 4: Simplify right side
    24,810x = 1,304,654,400
  5. Step 5: Solve for x
    x = 1,304,654,400/24,810
  6. Step 6: Final answer
    x = 52,585.83

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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.