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Finding the Third Proportional to 29,482 and 45,080

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Solution

The third proportional to 29,482 and 45,080 is: 68,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,482 : 45,080 = 45,080 : x
  2. Step 2: Convert to fraction form
    29,482/45,080 = 45,080/x
  3. Step 3: Cross multiply
    29,482x = 45,080 × 45,080
  4. Step 4: Simplify right side
    29,482x = 2,032,206,400
  5. Step 5: Solve for x
    x = 2,032,206,400/29,482
  6. Step 6: Final answer
    x = 68,930.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.