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Finding the Third Proportional to 22,416 and 32,975

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Solution

The third proportional to 22,416 and 32,975 is: 48,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416 : 32,975 = 32,975 : x
  2. Step 2: Convert to fraction form
    22,416/32,975 = 32,975/x
  3. Step 3: Cross multiply
    22,416x = 32,975 × 32,975
  4. Step 4: Simplify right side
    22,416x = 1,087,350,625
  5. Step 5: Solve for x
    x = 1,087,350,625/22,416
  6. Step 6: Final answer
    x = 48,507.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.