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Finding the Third Proportional to 12,617.96 and 27,346.04

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Solution

The third proportional to 12,617.96 and 27,346.04 is: 59,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.96 : 27,346.04 = 27,346.04 : x
  2. Step 2: Convert to fraction form
    12,617.96/27,346.04 = 27,346.04/x
  3. Step 3: Cross multiply
    12,617.96x = 27,346.04 × 27,346.04
  4. Step 4: Simplify right side
    12,617.96x = 747,806,066.05
  5. Step 5: Solve for x
    x = 747,806,066.05/12,617.96
  6. Step 6: Final answer
    x = 59,265.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.