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Finding the Third Proportional to 12,876.47 and 18,378.56

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Solution

The third proportional to 12,876.47 and 18,378.56 is: 26,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.47 : 18,378.56 = 18,378.56 : x
  2. Step 2: Convert to fraction form
    12,876.47/18,378.56 = 18,378.56/x
  3. Step 3: Cross multiply
    12,876.47x = 18,378.56 × 18,378.56
  4. Step 4: Simplify right side
    12,876.47x = 337,771,559.57
  5. Step 5: Solve for x
    x = 337,771,559.57/12,876.47
  6. Step 6: Final answer
    x = 26,231.69

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.