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Finding the Third Proportional to 6,353 and 7,316

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Solution

The third proportional to 6,353 and 7,316 is: 8,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353 : 7,316 = 7,316 : x
  2. Step 2: Convert to fraction form
    6,353/7,316 = 7,316/x
  3. Step 3: Cross multiply
    6,353x = 7,316 × 7,316
  4. Step 4: Simplify right side
    6,353x = 53,523,856
  5. Step 5: Solve for x
    x = 53,523,856/6,353
  6. Step 6: Final answer
    x = 8,424.97

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.