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Finding the Third Proportional to 5,250.06 and 8,123.19

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Solution

The third proportional to 5,250.06 and 8,123.19 is: 12,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.06 : 8,123.19 = 8,123.19 : x
  2. Step 2: Convert to fraction form
    5,250.06/8,123.19 = 8,123.19/x
  3. Step 3: Cross multiply
    5,250.06x = 8,123.19 × 8,123.19
  4. Step 4: Simplify right side
    5,250.06x = 65,986,175.16
  5. Step 5: Solve for x
    x = 65,986,175.16/5,250.06
  6. Step 6: Final answer
    x = 12,568.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.