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Finding the Third Proportional to 6,338 and 9,315

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Solution

The third proportional to 6,338 and 9,315 is: 13,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338 : 9,315 = 9,315 : x
  2. Step 2: Convert to fraction form
    6,338/9,315 = 9,315/x
  3. Step 3: Cross multiply
    6,338x = 9,315 × 9,315
  4. Step 4: Simplify right side
    6,338x = 86,769,225
  5. Step 5: Solve for x
    x = 86,769,225/6,338
  6. Step 6: Final answer
    x = 13,690.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.