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Finding the Third Proportional to 5,248.13 and 6,821.72

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Solution

The third proportional to 5,248.13 and 6,821.72 is: 8,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.13 : 6,821.72 = 6,821.72 : x
  2. Step 2: Convert to fraction form
    5,248.13/6,821.72 = 6,821.72/x
  3. Step 3: Cross multiply
    5,248.13x = 6,821.72 × 6,821.72
  4. Step 4: Simplify right side
    5,248.13x = 46,535,846.70
  5. Step 5: Solve for x
    x = 46,535,846.70/5,248.13
  6. Step 6: Final answer
    x = 8,867.14

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.