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Finding the Third Proportional to 15,988 and 29,975

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Solution

The third proportional to 15,988 and 29,975 is: 56,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,988 : 29,975 = 29,975 : x
  2. Step 2: Convert to fraction form
    15,988/29,975 = 29,975/x
  3. Step 3: Cross multiply
    15,988x = 29,975 × 29,975
  4. Step 4: Simplify right side
    15,988x = 898,500,625
  5. Step 5: Solve for x
    x = 898,500,625/15,988
  6. Step 6: Final answer
    x = 56,198.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.