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Finding the Third Proportional to 24,347.25 and 36,520.88

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Solution

The third proportional to 24,347.25 and 36,520.88 is: 54,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,347.25 : 36,520.88 = 36,520.88 : x
  2. Step 2: Convert to fraction form
    24,347.25/36,520.88 = 36,520.88/x
  3. Step 3: Cross multiply
    24,347.25x = 36,520.88 × 36,520.88
  4. Step 4: Simplify right side
    24,347.25x = 1,333,774,310.77
  5. Step 5: Solve for x
    x = 1,333,774,310.77/24,347.25
  6. Step 6: Final answer
    x = 54,781.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.