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Finding the Third Proportional to 27,730 and 42,625

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Solution

The third proportional to 27,730 and 42,625 is: 65,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730 : 42,625 = 42,625 : x
  2. Step 2: Convert to fraction form
    27,730/42,625 = 42,625/x
  3. Step 3: Cross multiply
    27,730x = 42,625 × 42,625
  4. Step 4: Simplify right side
    27,730x = 1,816,890,625
  5. Step 5: Solve for x
    x = 1,816,890,625/27,730
  6. Step 6: Final answer
    x = 65,520.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.