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Finding the Third Proportional to 8,665.31 and 17,741.04

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Solution

The third proportional to 8,665.31 and 17,741.04 is: 36,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.31 : 17,741.04 = 17,741.04 : x
  2. Step 2: Convert to fraction form
    8,665.31/17,741.04 = 17,741.04/x
  3. Step 3: Cross multiply
    8,665.31x = 17,741.04 × 17,741.04
  4. Step 4: Simplify right side
    8,665.31x = 314,744,467.02
  5. Step 5: Solve for x
    x = 314,744,467.02/8,665.31
  6. Step 6: Final answer
    x = 36,322.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.