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Finding the Third Proportional to 5,320.69 and 6,998.91

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Solution

The third proportional to 5,320.69 and 6,998.91 is: 9,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.69 : 6,998.91 = 6,998.91 : x
  2. Step 2: Convert to fraction form
    5,320.69/6,998.91 = 6,998.91/x
  3. Step 3: Cross multiply
    5,320.69x = 6,998.91 × 6,998.91
  4. Step 4: Simplify right side
    5,320.69x = 48,984,688.70
  5. Step 5: Solve for x
    x = 48,984,688.70/5,320.69
  6. Step 6: Final answer
    x = 9,206.46

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.