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Finding the Third Proportional to 27,702 and 41,550

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Solution

The third proportional to 27,702 and 41,550 is: 62,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702 : 41,550 = 41,550 : x
  2. Step 2: Convert to fraction form
    27,702/41,550 = 41,550/x
  3. Step 3: Cross multiply
    27,702x = 41,550 × 41,550
  4. Step 4: Simplify right side
    27,702x = 1,726,402,500
  5. Step 5: Solve for x
    x = 1,726,402,500/27,702
  6. Step 6: Final answer
    x = 62,320.50

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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.