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Finding the Third Proportional to 36,387 and 56,076

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Solution

The third proportional to 36,387 and 56,076 is: 86,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,387 : 56,076 = 56,076 : x
  2. Step 2: Convert to fraction form
    36,387/56,076 = 56,076/x
  3. Step 3: Cross multiply
    36,387x = 56,076 × 56,076
  4. Step 4: Simplify right side
    36,387x = 3,144,517,776
  5. Step 5: Solve for x
    x = 3,144,517,776/36,387
  6. Step 6: Final answer
    x = 86,418.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.