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Finding the Third Proportional to 5,342.84 and 6,151.57

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Solution

The third proportional to 5,342.84 and 6,151.57 is: 7,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.84 : 6,151.57 = 6,151.57 : x
  2. Step 2: Convert to fraction form
    5,342.84/6,151.57 = 6,151.57/x
  3. Step 3: Cross multiply
    5,342.84x = 6,151.57 × 6,151.57
  4. Step 4: Simplify right side
    5,342.84x = 37,841,817.31
  5. Step 5: Solve for x
    x = 37,841,817.31/5,342.84
  6. Step 6: Final answer
    x = 7,082.72

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.