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Finding the Third Proportional to 32,202 and 49,259

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Solution

The third proportional to 32,202 and 49,259 is: 75,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202 : 49,259 = 49,259 : x
  2. Step 2: Convert to fraction form
    32,202/49,259 = 49,259/x
  3. Step 3: Cross multiply
    32,202x = 49,259 × 49,259
  4. Step 4: Simplify right side
    32,202x = 2,426,449,081
  5. Step 5: Solve for x
    x = 2,426,449,081/32,202
  6. Step 6: Final answer
    x = 75,350.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.