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Finding the Third Proportional to 24,865 and 36,810

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Solution

The third proportional to 24,865 and 36,810 is: 54,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865 : 36,810 = 36,810 : x
  2. Step 2: Convert to fraction form
    24,865/36,810 = 36,810/x
  3. Step 3: Cross multiply
    24,865x = 36,810 × 36,810
  4. Step 4: Simplify right side
    24,865x = 1,354,976,100
  5. Step 5: Solve for x
    x = 1,354,976,100/24,865
  6. Step 6: Final answer
    x = 54,493.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.