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Finding the Third Proportional to 24,386 and 36,475

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Solution

The third proportional to 24,386 and 36,475 is: 54,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386 : 36,475 = 36,475 : x
  2. Step 2: Convert to fraction form
    24,386/36,475 = 36,475/x
  3. Step 3: Cross multiply
    24,386x = 36,475 × 36,475
  4. Step 4: Simplify right side
    24,386x = 1,330,425,625
  5. Step 5: Solve for x
    x = 1,330,425,625/24,386
  6. Step 6: Final answer
    x = 54,556.94

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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.