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Finding the Third Proportional to 38,499 and 56,502

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Solution

The third proportional to 38,499 and 56,502 is: 82,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,499 : 56,502 = 56,502 : x
  2. Step 2: Convert to fraction form
    38,499/56,502 = 56,502/x
  3. Step 3: Cross multiply
    38,499x = 56,502 × 56,502
  4. Step 4: Simplify right side
    38,499x = 3,192,476,004
  5. Step 5: Solve for x
    x = 3,192,476,004/38,499
  6. Step 6: Final answer
    x = 82,923.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.