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Finding the Third Proportional to 5,249.81 and 6,328.13

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Solution

The third proportional to 5,249.81 and 6,328.13 is: 7,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.81 : 6,328.13 = 6,328.13 : x
  2. Step 2: Convert to fraction form
    5,249.81/6,328.13 = 6,328.13/x
  3. Step 3: Cross multiply
    5,249.81x = 6,328.13 × 6,328.13
  4. Step 4: Simplify right side
    5,249.81x = 40,045,166.02
  5. Step 5: Solve for x
    x = 40,045,166.02/5,249.81
  6. Step 6: Final answer
    x = 7,627.92

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.