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Finding the Third Proportional to 15,988 and 32,758

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Solution

The third proportional to 15,988 and 32,758 is: 67,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,988 : 32,758 = 32,758 : x
  2. Step 2: Convert to fraction form
    15,988/32,758 = 32,758/x
  3. Step 3: Cross multiply
    15,988x = 32,758 × 32,758
  4. Step 4: Simplify right side
    15,988x = 1,073,086,564
  5. Step 5: Solve for x
    x = 1,073,086,564/15,988
  6. Step 6: Final answer
    x = 67,118.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.