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Finding the Third Proportional to 27,359 and 41,066

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Solution

The third proportional to 27,359 and 41,066 is: 61,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,359 : 41,066 = 41,066 : x
  2. Step 2: Convert to fraction form
    27,359/41,066 = 41,066/x
  3. Step 3: Cross multiply
    27,359x = 41,066 × 41,066
  4. Step 4: Simplify right side
    27,359x = 1,686,416,356
  5. Step 5: Solve for x
    x = 1,686,416,356/27,359
  6. Step 6: Final answer
    x = 61,640.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.