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Finding the Third Proportional to 24,502 and 36,572

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Solution

The third proportional to 24,502 and 36,572 is: 54,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502 : 36,572 = 36,572 : x
  2. Step 2: Convert to fraction form
    24,502/36,572 = 36,572/x
  3. Step 3: Cross multiply
    24,502x = 36,572 × 36,572
  4. Step 4: Simplify right side
    24,502x = 1,337,511,184
  5. Step 5: Solve for x
    x = 1,337,511,184/24,502
  6. Step 6: Final answer
    x = 54,587.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.