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Finding the Third Proportional to 23,942 and 32,499

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Solution

The third proportional to 23,942 and 32,499 is: 44,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,942 : 32,499 = 32,499 : x
  2. Step 2: Convert to fraction form
    23,942/32,499 = 32,499/x
  3. Step 3: Cross multiply
    23,942x = 32,499 × 32,499
  4. Step 4: Simplify right side
    23,942x = 1,056,185,001
  5. Step 5: Solve for x
    x = 1,056,185,001/23,942
  6. Step 6: Final answer
    x = 44,114.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.