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Finding the Third Proportional to 3,119.06 and 4,053.38

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Solution

The third proportional to 3,119.06 and 4,053.38 is: 5,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.06 : 4,053.38 = 4,053.38 : x
  2. Step 2: Convert to fraction form
    3,119.06/4,053.38 = 4,053.38/x
  3. Step 3: Cross multiply
    3,119.06x = 4,053.38 × 4,053.38
  4. Step 4: Simplify right side
    3,119.06x = 16,429,848.89
  5. Step 5: Solve for x
    x = 16,429,848.89/3,119.06
  6. Step 6: Final answer
    x = 5,267.56

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.