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Finding the Third Proportional to 27,729 and 60,642

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Solution

The third proportional to 27,729 and 60,642 is: 132,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729 : 60,642 = 60,642 : x
  2. Step 2: Convert to fraction form
    27,729/60,642 = 60,642/x
  3. Step 3: Cross multiply
    27,729x = 60,642 × 60,642
  4. Step 4: Simplify right side
    27,729x = 3,677,452,164
  5. Step 5: Solve for x
    x = 3,677,452,164/27,729
  6. Step 6: Final answer
    x = 132,621.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.