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Finding the Third Proportional to 7,635.52 and 16,432.88

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Solution

The third proportional to 7,635.52 and 16,432.88 is: 35,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.52 : 16,432.88 = 16,432.88 : x
  2. Step 2: Convert to fraction form
    7,635.52/16,432.88 = 16,432.88/x
  3. Step 3: Cross multiply
    7,635.52x = 16,432.88 × 16,432.88
  4. Step 4: Simplify right side
    7,635.52x = 270,039,380.77
  5. Step 5: Solve for x
    x = 270,039,380.77/7,635.52
  6. Step 6: Final answer
    x = 35,366.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.