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Finding the Third Proportional to 15,740 and 32,764

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Solution

The third proportional to 15,740 and 32,764 is: 68,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740 : 32,764 = 32,764 : x
  2. Step 2: Convert to fraction form
    15,740/32,764 = 32,764/x
  3. Step 3: Cross multiply
    15,740x = 32,764 × 32,764
  4. Step 4: Simplify right side
    15,740x = 1,073,479,696
  5. Step 5: Solve for x
    x = 1,073,479,696/15,740
  6. Step 6: Final answer
    x = 68,200.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.