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Finding the Third Proportional to 27,180 and 38,275.88

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Solution

The third proportional to 27,180 and 38,275.88 is: 53,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180 : 38,275.88 = 38,275.88 : x
  2. Step 2: Convert to fraction form
    27,180/38,275.88 = 38,275.88/x
  3. Step 3: Cross multiply
    27,180x = 38,275.88 × 38,275.88
  4. Step 4: Simplify right side
    27,180x = 1,465,042,607.02
  5. Step 5: Solve for x
    x = 1,465,042,607.02/27,180
  6. Step 6: Final answer
    x = 53,901.49

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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.