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Finding the Third Proportional to 24,284 and 36,291

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Solution

The third proportional to 24,284 and 36,291 is: 54,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284 : 36,291 = 36,291 : x
  2. Step 2: Convert to fraction form
    24,284/36,291 = 36,291/x
  3. Step 3: Cross multiply
    24,284x = 36,291 × 36,291
  4. Step 4: Simplify right side
    24,284x = 1,317,036,681
  5. Step 5: Solve for x
    x = 1,317,036,681/24,284
  6. Step 6: Final answer
    x = 54,234.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.