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Finding the Third Proportional to 8,117.72 and 13,338.42

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Solution

The third proportional to 8,117.72 and 13,338.42 is: 21,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.72 : 13,338.42 = 13,338.42 : x
  2. Step 2: Convert to fraction form
    8,117.72/13,338.42 = 13,338.42/x
  3. Step 3: Cross multiply
    8,117.72x = 13,338.42 × 13,338.42
  4. Step 4: Simplify right side
    8,117.72x = 177,913,498.12
  5. Step 5: Solve for x
    x = 177,913,498.12/8,117.72
  6. Step 6: Final answer
    x = 21,916.69

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.