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Finding the Third Proportional to 38,898 and 56,646

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Solution

The third proportional to 38,898 and 56,646 is: 82,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,898 : 56,646 = 56,646 : x
  2. Step 2: Convert to fraction form
    38,898/56,646 = 56,646/x
  3. Step 3: Cross multiply
    38,898x = 56,646 × 56,646
  4. Step 4: Simplify right side
    38,898x = 3,208,769,316
  5. Step 5: Solve for x
    x = 3,208,769,316/38,898
  6. Step 6: Final answer
    x = 82,491.88

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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.