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Finding the Third Proportional to 24,587 and 36,905

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Solution

The third proportional to 24,587 and 36,905 is: 55,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,587 : 36,905 = 36,905 : x
  2. Step 2: Convert to fraction form
    24,587/36,905 = 36,905/x
  3. Step 3: Cross multiply
    24,587x = 36,905 × 36,905
  4. Step 4: Simplify right side
    24,587x = 1,361,979,025
  5. Step 5: Solve for x
    x = 1,361,979,025/24,587
  6. Step 6: Final answer
    x = 55,394.27

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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.