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Finding the Third Proportional to 6,419.06 and 13,891.13

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Solution

The third proportional to 6,419.06 and 13,891.13 is: 30,060.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.06 : 13,891.13 = 13,891.13 : x
  2. Step 2: Convert to fraction form
    6,419.06/13,891.13 = 13,891.13/x
  3. Step 3: Cross multiply
    6,419.06x = 13,891.13 × 13,891.13
  4. Step 4: Simplify right side
    6,419.06x = 192,963,353.77
  5. Step 5: Solve for x
    x = 192,963,353.77/6,419.06
  6. Step 6: Final answer
    x = 30,060.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.