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Finding the Third Proportional to 5,196.38 and 7,099.88

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Solution

The third proportional to 5,196.38 and 7,099.88 is: 9,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.38 : 7,099.88 = 7,099.88 : x
  2. Step 2: Convert to fraction form
    5,196.38/7,099.88 = 7,099.88/x
  3. Step 3: Cross multiply
    5,196.38x = 7,099.88 × 7,099.88
  4. Step 4: Simplify right side
    5,196.38x = 50,408,225.02
  5. Step 5: Solve for x
    x = 50,408,225.02/5,196.38
  6. Step 6: Final answer
    x = 9,700.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.