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Finding the Third Proportional to 48,422 and 74,779

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Solution

The third proportional to 48,422 and 74,779 is: 115,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,422 : 74,779 = 74,779 : x
  2. Step 2: Convert to fraction form
    48,422/74,779 = 74,779/x
  3. Step 3: Cross multiply
    48,422x = 74,779 × 74,779
  4. Step 4: Simplify right side
    48,422x = 5,591,898,841
  5. Step 5: Solve for x
    x = 5,591,898,841/48,422
  6. Step 6: Final answer
    x = 115,482.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.