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Finding the Third Proportional to 27,066 and 58,737

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Solution

The third proportional to 27,066 and 58,737 is: 127,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,066 : 58,737 = 58,737 : x
  2. Step 2: Convert to fraction form
    27,066/58,737 = 58,737/x
  3. Step 3: Cross multiply
    27,066x = 58,737 × 58,737
  4. Step 4: Simplify right side
    27,066x = 3,450,035,169
  5. Step 5: Solve for x
    x = 3,450,035,169/27,066
  6. Step 6: Final answer
    x = 127,467.49

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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.