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Finding the Third Proportional to 24,208 and 36,488

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Solution

The third proportional to 24,208 and 36,488 is: 54,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208 : 36,488 = 36,488 : x
  2. Step 2: Convert to fraction form
    24,208/36,488 = 36,488/x
  3. Step 3: Cross multiply
    24,208x = 36,488 × 36,488
  4. Step 4: Simplify right side
    24,208x = 1,331,374,144
  5. Step 5: Solve for x
    x = 1,331,374,144/24,208
  6. Step 6: Final answer
    x = 54,997.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.