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Finding the Third Proportional to 32,948 and 49,302

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Solution

The third proportional to 32,948 and 49,302 is: 73,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948 : 49,302 = 49,302 : x
  2. Step 2: Convert to fraction form
    32,948/49,302 = 49,302/x
  3. Step 3: Cross multiply
    32,948x = 49,302 × 49,302
  4. Step 4: Simplify right side
    32,948x = 2,430,687,204
  5. Step 5: Solve for x
    x = 2,430,687,204/32,948
  6. Step 6: Final answer
    x = 73,773.44

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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.