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Finding the Third Proportional to 15,976.13 and 32,735.25

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Solution

The third proportional to 15,976.13 and 32,735.25 is: 67,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976.13 : 32,735.25 = 32,735.25 : x
  2. Step 2: Convert to fraction form
    15,976.13/32,735.25 = 32,735.25/x
  3. Step 3: Cross multiply
    15,976.13x = 32,735.25 × 32,735.25
  4. Step 4: Simplify right side
    15,976.13x = 1,071,596,592.56
  5. Step 5: Solve for x
    x = 1,071,596,592.56/15,976.13
  6. Step 6: Final answer
    x = 67,074.88

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