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Finding the Third Proportional to 6,432.75 and 10,546.88

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Solution

The third proportional to 6,432.75 and 10,546.88 is: 17,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.75 : 10,546.88 = 10,546.88 : x
  2. Step 2: Convert to fraction form
    6,432.75/10,546.88 = 10,546.88/x
  3. Step 3: Cross multiply
    6,432.75x = 10,546.88 × 10,546.88
  4. Step 4: Simplify right side
    6,432.75x = 111,236,572.27
  5. Step 5: Solve for x
    x = 111,236,572.27/6,432.75
  6. Step 6: Final answer
    x = 17,292.23

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.