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Finding the Third Proportional to 29,976 and 45,504

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Solution

The third proportional to 29,976 and 45,504 is: 69,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976 : 45,504 = 45,504 : x
  2. Step 2: Convert to fraction form
    29,976/45,504 = 45,504/x
  3. Step 3: Cross multiply
    29,976x = 45,504 × 45,504
  4. Step 4: Simplify right side
    29,976x = 2,070,614,016
  5. Step 5: Solve for x
    x = 2,070,614,016/29,976
  6. Step 6: Final answer
    x = 69,075.73

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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.