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Finding the Third Proportional to 3,498.19 and 7,724.11

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Solution

The third proportional to 3,498.19 and 7,724.11 is: 17,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.19 : 7,724.11 = 7,724.11 : x
  2. Step 2: Convert to fraction form
    3,498.19/7,724.11 = 7,724.11/x
  3. Step 3: Cross multiply
    3,498.19x = 7,724.11 × 7,724.11
  4. Step 4: Simplify right side
    3,498.19x = 59,661,865.64
  5. Step 5: Solve for x
    x = 59,661,865.64/3,498.19
  6. Step 6: Final answer
    x = 17,055.08

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.