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Finding the Third Proportional to 6,262.88 and 9,630.38

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Solution

The third proportional to 6,262.88 and 9,630.38 is: 14,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.88 : 9,630.38 = 9,630.38 : x
  2. Step 2: Convert to fraction form
    6,262.88/9,630.38 = 9,630.38/x
  3. Step 3: Cross multiply
    6,262.88x = 9,630.38 × 9,630.38
  4. Step 4: Simplify right side
    6,262.88x = 92,744,122.64
  5. Step 5: Solve for x
    x = 92,744,122.64/6,262.88
  6. Step 6: Final answer
    x = 14,808.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.