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Finding the Third Proportional to 32,482 and 49,074

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Solution

The third proportional to 32,482 and 49,074 is: 74,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482 : 49,074 = 49,074 : x
  2. Step 2: Convert to fraction form
    32,482/49,074 = 49,074/x
  3. Step 3: Cross multiply
    32,482x = 49,074 × 49,074
  4. Step 4: Simplify right side
    32,482x = 2,408,257,476
  5. Step 5: Solve for x
    x = 2,408,257,476/32,482
  6. Step 6: Final answer
    x = 74,141.29

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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.