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Finding the Third Proportional to 5,239.69 and 5,680.13

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Solution

The third proportional to 5,239.69 and 5,680.13 is: 6,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.69 : 5,680.13 = 5,680.13 : x
  2. Step 2: Convert to fraction form
    5,239.69/5,680.13 = 5,680.13/x
  3. Step 3: Cross multiply
    5,239.69x = 5,680.13 × 5,680.13
  4. Step 4: Simplify right side
    5,239.69x = 32,263,820.02
  5. Step 5: Solve for x
    x = 32,263,820.02/5,239.69
  6. Step 6: Final answer
    x = 6,157.58

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.