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Finding the Third Proportional to 32,761 and 49,091

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Solution

The third proportional to 32,761 and 49,091 is: 73,560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761 : 49,091 = 49,091 : x
  2. Step 2: Convert to fraction form
    32,761/49,091 = 49,091/x
  3. Step 3: Cross multiply
    32,761x = 49,091 × 49,091
  4. Step 4: Simplify right side
    32,761x = 2,409,926,281
  5. Step 5: Solve for x
    x = 2,409,926,281/32,761
  6. Step 6: Final answer
    x = 73,560.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.