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Finding the Third Proportional to 15,982.13 and 34,416.75

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Solution

The third proportional to 15,982.13 and 34,416.75 is: 74,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.13 : 34,416.75 = 34,416.75 : x
  2. Step 2: Convert to fraction form
    15,982.13/34,416.75 = 34,416.75/x
  3. Step 3: Cross multiply
    15,982.13x = 34,416.75 × 34,416.75
  4. Step 4: Simplify right side
    15,982.13x = 1,184,512,680.56
  5. Step 5: Solve for x
    x = 1,184,512,680.56/15,982.13
  6. Step 6: Final answer
    x = 74,114.84

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Why These Related Problems?

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