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Finding the Third Proportional to 24,012 and 36,349

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Solution

The third proportional to 24,012 and 36,349 is: 55,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012 : 36,349 = 36,349 : x
  2. Step 2: Convert to fraction form
    24,012/36,349 = 36,349/x
  3. Step 3: Cross multiply
    24,012x = 36,349 × 36,349
  4. Step 4: Simplify right side
    24,012x = 1,321,249,801
  5. Step 5: Solve for x
    x = 1,321,249,801/24,012
  6. Step 6: Final answer
    x = 55,024.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.