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Finding the Third Proportional to 6,082.59 and 7,407.70

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Solution

The third proportional to 6,082.59 and 7,407.70 is: 9,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.59 : 7,407.70 = 7,407.70 : x
  2. Step 2: Convert to fraction form
    6,082.59/7,407.70 = 7,407.70/x
  3. Step 3: Cross multiply
    6,082.59x = 7,407.70 × 7,407.70
  4. Step 4: Simplify right side
    6,082.59x = 54,874,065.59
  5. Step 5: Solve for x
    x = 54,874,065.59/6,082.59
  6. Step 6: Final answer
    x = 9,021.49

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.