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Finding the Third Proportional to 2,944.13 and 4,407.19

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Solution

The third proportional to 2,944.13 and 4,407.19 is: 6,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.13 : 4,407.19 = 4,407.19 : x
  2. Step 2: Convert to fraction form
    2,944.13/4,407.19 = 4,407.19/x
  3. Step 3: Cross multiply
    2,944.13x = 4,407.19 × 4,407.19
  4. Step 4: Simplify right side
    2,944.13x = 19,423,301.66
  5. Step 5: Solve for x
    x = 19,423,301.66/2,944.13
  6. Step 6: Final answer
    x = 6,597.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.