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Finding the Third Proportional to 28,982 and 44,080

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Solution

The third proportional to 28,982 and 44,080 is: 67,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,982 : 44,080 = 44,080 : x
  2. Step 2: Convert to fraction form
    28,982/44,080 = 44,080/x
  3. Step 3: Cross multiply
    28,982x = 44,080 × 44,080
  4. Step 4: Simplify right side
    28,982x = 1,943,046,400
  5. Step 5: Solve for x
    x = 1,943,046,400/28,982
  6. Step 6: Final answer
    x = 67,043.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.