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Finding the Third Proportional to 32,294 and 48,626

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Solution

The third proportional to 32,294 and 48,626 is: 73,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,294 : 48,626 = 48,626 : x
  2. Step 2: Convert to fraction form
    32,294/48,626 = 48,626/x
  3. Step 3: Cross multiply
    32,294x = 48,626 × 48,626
  4. Step 4: Simplify right side
    32,294x = 2,364,487,876
  5. Step 5: Solve for x
    x = 2,364,487,876/32,294
  6. Step 6: Final answer
    x = 73,217.56

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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.