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Finding the Third Proportional to 6,664.88 and 14,585.25

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Solution

The third proportional to 6,664.88 and 14,585.25 is: 31,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.88 : 14,585.25 = 14,585.25 : x
  2. Step 2: Convert to fraction form
    6,664.88/14,585.25 = 14,585.25/x
  3. Step 3: Cross multiply
    6,664.88x = 14,585.25 × 14,585.25
  4. Step 4: Simplify right side
    6,664.88x = 212,729,517.56
  5. Step 5: Solve for x
    x = 212,729,517.56/6,664.88
  6. Step 6: Final answer
    x = 31,918.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.