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Finding the Third Proportional to 4,095 and 6,353

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Solution

The third proportional to 4,095 and 6,353 is: 9,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095 : 6,353 = 6,353 : x
  2. Step 2: Convert to fraction form
    4,095/6,353 = 6,353/x
  3. Step 3: Cross multiply
    4,095x = 6,353 × 6,353
  4. Step 4: Simplify right side
    4,095x = 40,360,609
  5. Step 5: Solve for x
    x = 40,360,609/4,095
  6. Step 6: Final answer
    x = 9,856.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.