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Finding the Third Proportional to 27,186 and 39,730

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Solution

The third proportional to 27,186 and 39,730 is: 58,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186 : 39,730 = 39,730 : x
  2. Step 2: Convert to fraction form
    27,186/39,730 = 39,730/x
  3. Step 3: Cross multiply
    27,186x = 39,730 × 39,730
  4. Step 4: Simplify right side
    27,186x = 1,578,472,900
  5. Step 5: Solve for x
    x = 1,578,472,900/27,186
  6. Step 6: Final answer
    x = 58,061.98

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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.