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Finding the Third Proportional to 3,267.38 and 4,763.63

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Solution

The third proportional to 3,267.38 and 4,763.63 is: 6,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.38 : 4,763.63 = 4,763.63 : x
  2. Step 2: Convert to fraction form
    3,267.38/4,763.63 = 4,763.63/x
  3. Step 3: Cross multiply
    3,267.38x = 4,763.63 × 4,763.63
  4. Step 4: Simplify right side
    3,267.38x = 22,692,123.14
  5. Step 5: Solve for x
    x = 22,692,123.14/3,267.38
  6. Step 6: Final answer
    x = 6,945.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.