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Finding the Third Proportional to 24,518 and 34,526

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Solution

The third proportional to 24,518 and 34,526 is: 48,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,518 : 34,526 = 34,526 : x
  2. Step 2: Convert to fraction form
    24,518/34,526 = 34,526/x
  3. Step 3: Cross multiply
    24,518x = 34,526 × 34,526
  4. Step 4: Simplify right side
    24,518x = 1,192,044,676
  5. Step 5: Solve for x
    x = 1,192,044,676/24,518
  6. Step 6: Final answer
    x = 48,619.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.