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Finding the Third Proportional to 27,023 and 59,107

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Solution

The third proportional to 27,023 and 59,107 is: 129,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,023 : 59,107 = 59,107 : x
  2. Step 2: Convert to fraction form
    27,023/59,107 = 59,107/x
  3. Step 3: Cross multiply
    27,023x = 59,107 × 59,107
  4. Step 4: Simplify right side
    27,023x = 3,493,637,449
  5. Step 5: Solve for x
    x = 3,493,637,449/27,023
  6. Step 6: Final answer
    x = 129,283.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.