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Finding the Third Proportional to 9,799.31 and 14,288.06

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Solution

The third proportional to 9,799.31 and 14,288.06 is: 20,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.31 : 14,288.06 = 14,288.06 : x
  2. Step 2: Convert to fraction form
    9,799.31/14,288.06 = 14,288.06/x
  3. Step 3: Cross multiply
    9,799.31x = 14,288.06 × 14,288.06
  4. Step 4: Simplify right side
    9,799.31x = 204,148,730.00
  5. Step 5: Solve for x
    x = 204,148,730.00/9,799.31
  6. Step 6: Final answer
    x = 20,832.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.