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Finding the Third Proportional to 5,329.13 and 6,807.38

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Solution

The third proportional to 5,329.13 and 6,807.38 is: 8,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.13 : 6,807.38 = 6,807.38 : x
  2. Step 2: Convert to fraction form
    5,329.13/6,807.38 = 6,807.38/x
  3. Step 3: Cross multiply
    5,329.13x = 6,807.38 × 6,807.38
  4. Step 4: Simplify right side
    5,329.13x = 46,340,354.39
  5. Step 5: Solve for x
    x = 46,340,354.39/5,329.13
  6. Step 6: Final answer
    x = 8,695.68

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.