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Finding the Third Proportional to 27,737 and 39,066

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Solution

The third proportional to 27,737 and 39,066 is: 55,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737 : 39,066 = 39,066 : x
  2. Step 2: Convert to fraction form
    27,737/39,066 = 39,066/x
  3. Step 3: Cross multiply
    27,737x = 39,066 × 39,066
  4. Step 4: Simplify right side
    27,737x = 1,526,152,356
  5. Step 5: Solve for x
    x = 1,526,152,356/27,737
  6. Step 6: Final answer
    x = 55,022.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.