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Finding the Third Proportional to 27,042 and 58,646

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Solution

The third proportional to 27,042 and 58,646 is: 127,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042 : 58,646 = 58,646 : x
  2. Step 2: Convert to fraction form
    27,042/58,646 = 58,646/x
  3. Step 3: Cross multiply
    27,042x = 58,646 × 58,646
  4. Step 4: Simplify right side
    27,042x = 3,439,353,316
  5. Step 5: Solve for x
    x = 3,439,353,316/27,042
  6. Step 6: Final answer
    x = 127,185.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.