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Finding the Third Proportional to 32,080 and 49,373

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Solution

The third proportional to 32,080 and 49,373 is: 75,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080 : 49,373 = 49,373 : x
  2. Step 2: Convert to fraction form
    32,080/49,373 = 49,373/x
  3. Step 3: Cross multiply
    32,080x = 49,373 × 49,373
  4. Step 4: Simplify right side
    32,080x = 2,437,693,129
  5. Step 5: Solve for x
    x = 2,437,693,129/32,080
  6. Step 6: Final answer
    x = 75,987.94

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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.