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Finding the Third Proportional to 18,117.42 and 38,914.17

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Solution

The third proportional to 18,117.42 and 38,914.17 is: 83,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117.42 : 38,914.17 = 38,914.17 : x
  2. Step 2: Convert to fraction form
    18,117.42/38,914.17 = 38,914.17/x
  3. Step 3: Cross multiply
    18,117.42x = 38,914.17 × 38,914.17
  4. Step 4: Simplify right side
    18,117.42x = 1,514,312,772.72
  5. Step 5: Solve for x
    x = 1,514,312,772.72/18,117.42
  6. Step 6: Final answer
    x = 83,583.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.