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Finding the Third Proportional to 24,809 and 36,118

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Solution

The third proportional to 24,809 and 36,118 is: 52,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809 : 36,118 = 36,118 : x
  2. Step 2: Convert to fraction form
    24,809/36,118 = 36,118/x
  3. Step 3: Cross multiply
    24,809x = 36,118 × 36,118
  4. Step 4: Simplify right side
    24,809x = 1,304,509,924
  5. Step 5: Solve for x
    x = 1,304,509,924/24,809
  6. Step 6: Final answer
    x = 52,582.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.