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Finding the Third Proportional to 5,680.97 and 8,132.06

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Solution

The third proportional to 5,680.97 and 8,132.06 is: 11,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.97 : 8,132.06 = 8,132.06 : x
  2. Step 2: Convert to fraction form
    5,680.97/8,132.06 = 8,132.06/x
  3. Step 3: Cross multiply
    5,680.97x = 8,132.06 × 8,132.06
  4. Step 4: Simplify right side
    5,680.97x = 66,130,440.50
  5. Step 5: Solve for x
    x = 66,130,440.50/5,680.97
  6. Step 6: Final answer
    x = 11,640.70

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.