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Finding the Third Proportional to 9,499.78 and 14,787.88

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Solution

The third proportional to 9,499.78 and 14,787.88 is: 23,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.78 : 14,787.88 = 14,787.88 : x
  2. Step 2: Convert to fraction form
    9,499.78/14,787.88 = 14,787.88/x
  3. Step 3: Cross multiply
    9,499.78x = 14,787.88 × 14,787.88
  4. Step 4: Simplify right side
    9,499.78x = 218,681,362.55
  5. Step 5: Solve for x
    x = 218,681,362.55/9,499.78
  6. Step 6: Final answer
    x = 23,019.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.