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Finding the Third Proportional to 9,084.66 and 13,327.88

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Solution

The third proportional to 9,084.66 and 13,327.88 is: 19,553.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.66 : 13,327.88 = 13,327.88 : x
  2. Step 2: Convert to fraction form
    9,084.66/13,327.88 = 13,327.88/x
  3. Step 3: Cross multiply
    9,084.66x = 13,327.88 × 13,327.88
  4. Step 4: Simplify right side
    9,084.66x = 177,632,252.02
  5. Step 5: Solve for x
    x = 177,632,252.02/9,084.66
  6. Step 6: Final answer
    x = 19,553.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.