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Finding the Third Proportional to 38,414 and 56,252

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Solution

The third proportional to 38,414 and 56,252 is: 82,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414 : 56,252 = 56,252 : x
  2. Step 2: Convert to fraction form
    38,414/56,252 = 56,252/x
  3. Step 3: Cross multiply
    38,414x = 56,252 × 56,252
  4. Step 4: Simplify right side
    38,414x = 3,164,287,504
  5. Step 5: Solve for x
    x = 3,164,287,504/38,414
  6. Step 6: Final answer
    x = 82,373.29

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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.