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Finding the Third Proportional to 32,154 and 49,782

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Solution

The third proportional to 32,154 and 49,782 is: 77,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154 : 49,782 = 49,782 : x
  2. Step 2: Convert to fraction form
    32,154/49,782 = 49,782/x
  3. Step 3: Cross multiply
    32,154x = 49,782 × 49,782
  4. Step 4: Simplify right side
    32,154x = 2,478,247,524
  5. Step 5: Solve for x
    x = 2,478,247,524/32,154
  6. Step 6: Final answer
    x = 77,074.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.