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Finding the Third Proportional to 5,876.50 and 6,491.50

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Solution

The third proportional to 5,876.50 and 6,491.50 is: 7,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.50 : 6,491.50 = 6,491.50 : x
  2. Step 2: Convert to fraction form
    5,876.50/6,491.50 = 6,491.50/x
  3. Step 3: Cross multiply
    5,876.50x = 6,491.50 × 6,491.50
  4. Step 4: Simplify right side
    5,876.50x = 42,139,572.25
  5. Step 5: Solve for x
    x = 42,139,572.25/5,876.50
  6. Step 6: Final answer
    x = 7,170.86

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.