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Finding the Third Proportional to 27,033 and 59,127

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Solution

The third proportional to 27,033 and 59,127 is: 129,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033 : 59,127 = 59,127 : x
  2. Step 2: Convert to fraction form
    27,033/59,127 = 59,127/x
  3. Step 3: Cross multiply
    27,033x = 59,127 × 59,127
  4. Step 4: Simplify right side
    27,033x = 3,496,002,129
  5. Step 5: Solve for x
    x = 3,496,002,129/27,033
  6. Step 6: Final answer
    x = 129,323.50

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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.