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Finding the Third Proportional to 24,074 and 27,530

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Solution

The third proportional to 24,074 and 27,530 is: 31,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074 : 27,530 = 27,530 : x
  2. Step 2: Convert to fraction form
    24,074/27,530 = 27,530/x
  3. Step 3: Cross multiply
    24,074x = 27,530 × 27,530
  4. Step 4: Simplify right side
    24,074x = 757,900,900
  5. Step 5: Solve for x
    x = 757,900,900/24,074
  6. Step 6: Final answer
    x = 31,482.13

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.