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Finding the Third Proportional to 15,717.38 and 33,684.19

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Solution

The third proportional to 15,717.38 and 33,684.19 is: 72,189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.38 : 33,684.19 = 33,684.19 : x
  2. Step 2: Convert to fraction form
    15,717.38/33,684.19 = 33,684.19/x
  3. Step 3: Cross multiply
    15,717.38x = 33,684.19 × 33,684.19
  4. Step 4: Simplify right side
    15,717.38x = 1,134,624,487.54
  5. Step 5: Solve for x
    x = 1,134,624,487.54/15,717.38
  6. Step 6: Final answer
    x = 72,189.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.