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Finding the Third Proportional to 27,672 and 60,042

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Solution

The third proportional to 27,672 and 60,042 is: 130,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672 : 60,042 = 60,042 : x
  2. Step 2: Convert to fraction form
    27,672/60,042 = 60,042/x
  3. Step 3: Cross multiply
    27,672x = 60,042 × 60,042
  4. Step 4: Simplify right side
    27,672x = 3,605,041,764
  5. Step 5: Solve for x
    x = 3,605,041,764/27,672
  6. Step 6: Final answer
    x = 130,277.60

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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.