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Finding the Third Proportional to 6,160.92 and 9,652.08

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Solution

The third proportional to 6,160.92 and 9,652.08 is: 15,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.92 : 9,652.08 = 9,652.08 : x
  2. Step 2: Convert to fraction form
    6,160.92/9,652.08 = 9,652.08/x
  3. Step 3: Cross multiply
    6,160.92x = 9,652.08 × 9,652.08
  4. Step 4: Simplify right side
    6,160.92x = 93,162,612.13
  5. Step 5: Solve for x
    x = 93,162,612.13/6,160.92
  6. Step 6: Final answer
    x = 15,121.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.