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Finding the Third Proportional to 24,454 and 36,666

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Solution

The third proportional to 24,454 and 36,666 is: 54,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454 : 36,666 = 36,666 : x
  2. Step 2: Convert to fraction form
    24,454/36,666 = 36,666/x
  3. Step 3: Cross multiply
    24,454x = 36,666 × 36,666
  4. Step 4: Simplify right side
    24,454x = 1,344,395,556
  5. Step 5: Solve for x
    x = 1,344,395,556/24,454
  6. Step 6: Final answer
    x = 54,976.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.