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Finding the Third Proportional to 8,148.38 and 12,951.56

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Solution

The third proportional to 8,148.38 and 12,951.56 is: 20,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.38 : 12,951.56 = 12,951.56 : x
  2. Step 2: Convert to fraction form
    8,148.38/12,951.56 = 12,951.56/x
  3. Step 3: Cross multiply
    8,148.38x = 12,951.56 × 12,951.56
  4. Step 4: Simplify right side
    8,148.38x = 167,742,971.19
  5. Step 5: Solve for x
    x = 167,742,971.19/8,148.38
  6. Step 6: Final answer
    x = 20,586.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.