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Finding the Third Proportional to 24,169 and 36,139

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Solution

The third proportional to 24,169 and 36,139 is: 54,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,169 : 36,139 = 36,139 : x
  2. Step 2: Convert to fraction form
    24,169/36,139 = 36,139/x
  3. Step 3: Cross multiply
    24,169x = 36,139 × 36,139
  4. Step 4: Simplify right side
    24,169x = 1,306,027,321
  5. Step 5: Solve for x
    x = 1,306,027,321/24,169
  6. Step 6: Final answer
    x = 54,037.29

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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.