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Finding the Third Proportional to 24,295 and 36,463

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Solution

The third proportional to 24,295 and 36,463 is: 54,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,295 : 36,463 = 36,463 : x
  2. Step 2: Convert to fraction form
    24,295/36,463 = 36,463/x
  3. Step 3: Cross multiply
    24,295x = 36,463 × 36,463
  4. Step 4: Simplify right side
    24,295x = 1,329,550,369
  5. Step 5: Solve for x
    x = 1,329,550,369/24,295
  6. Step 6: Final answer
    x = 54,725.27

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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.