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Finding the Third Proportional to 27,139 and 42,017

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Solution

The third proportional to 27,139 and 42,017 is: 65,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,139 : 42,017 = 42,017 : x
  2. Step 2: Convert to fraction form
    27,139/42,017 = 42,017/x
  3. Step 3: Cross multiply
    27,139x = 42,017 × 42,017
  4. Step 4: Simplify right side
    27,139x = 1,765,428,289
  5. Step 5: Solve for x
    x = 1,765,428,289/27,139
  6. Step 6: Final answer
    x = 65,051.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.