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Finding the Third Proportional to 1,501.03 and 3,218.91

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Solution

The third proportional to 1,501.03 and 3,218.91 is: 6,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.03 : 3,218.91 = 3,218.91 : x
  2. Step 2: Convert to fraction form
    1,501.03/3,218.91 = 3,218.91/x
  3. Step 3: Cross multiply
    1,501.03x = 3,218.91 × 3,218.91
  4. Step 4: Simplify right side
    1,501.03x = 10,361,357.45
  5. Step 5: Solve for x
    x = 10,361,357.45/1,501.03
  6. Step 6: Final answer
    x = 6,902.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.