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Finding the Third Proportional to 32,780 and 49,442

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Solution

The third proportional to 32,780 and 49,442 is: 74,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780 : 49,442 = 49,442 : x
  2. Step 2: Convert to fraction form
    32,780/49,442 = 49,442/x
  3. Step 3: Cross multiply
    32,780x = 49,442 × 49,442
  4. Step 4: Simplify right side
    32,780x = 2,444,511,364
  5. Step 5: Solve for x
    x = 2,444,511,364/32,780
  6. Step 6: Final answer
    x = 74,573.26

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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.