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Finding the Third Proportional to 27,042 and 59,066

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Solution

The third proportional to 27,042 and 59,066 is: 129,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042 : 59,066 = 59,066 : x
  2. Step 2: Convert to fraction form
    27,042/59,066 = 59,066/x
  3. Step 3: Cross multiply
    27,042x = 59,066 × 59,066
  4. Step 4: Simplify right side
    27,042x = 3,488,792,356
  5. Step 5: Solve for x
    x = 3,488,792,356/27,042
  6. Step 6: Final answer
    x = 129,013.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.