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Finding the Third Proportional to 4,809.38 and 6,498.56

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Solution

The third proportional to 4,809.38 and 6,498.56 is: 8,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.38 : 6,498.56 = 6,498.56 : x
  2. Step 2: Convert to fraction form
    4,809.38/6,498.56 = 6,498.56/x
  3. Step 3: Cross multiply
    4,809.38x = 6,498.56 × 6,498.56
  4. Step 4: Simplify right side
    4,809.38x = 42,231,314.57
  5. Step 5: Solve for x
    x = 42,231,314.57/4,809.38
  6. Step 6: Final answer
    x = 8,781.04

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.