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Finding the Third Proportional to 9,686.53 and 13,951.83

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Solution

The third proportional to 9,686.53 and 13,951.83 is: 20,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.53 : 13,951.83 = 13,951.83 : x
  2. Step 2: Convert to fraction form
    9,686.53/13,951.83 = 13,951.83/x
  3. Step 3: Cross multiply
    9,686.53x = 13,951.83 × 13,951.83
  4. Step 4: Simplify right side
    9,686.53x = 194,653,508.03
  5. Step 5: Solve for x
    x = 194,653,508.03/9,686.53
  6. Step 6: Final answer
    x = 20,095.27

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.