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Finding the Third Proportional to 24,434 and 36,643

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Solution

The third proportional to 24,434 and 36,643 is: 54,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434 : 36,643 = 36,643 : x
  2. Step 2: Convert to fraction form
    24,434/36,643 = 36,643/x
  3. Step 3: Cross multiply
    24,434x = 36,643 × 36,643
  4. Step 4: Simplify right side
    24,434x = 1,342,709,449
  5. Step 5: Solve for x
    x = 1,342,709,449/24,434
  6. Step 6: Final answer
    x = 54,952.50

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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.