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Finding the Third Proportional to 32,554 and 49,191

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Solution

The third proportional to 32,554 and 49,191 is: 74,330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,554 : 49,191 = 49,191 : x
  2. Step 2: Convert to fraction form
    32,554/49,191 = 49,191/x
  3. Step 3: Cross multiply
    32,554x = 49,191 × 49,191
  4. Step 4: Simplify right side
    32,554x = 2,419,754,481
  5. Step 5: Solve for x
    x = 2,419,754,481/32,554
  6. Step 6: Final answer
    x = 74,330.48

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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.