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Finding the Third Proportional to 5,703.13 and 12,194.38

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Solution

The third proportional to 5,703.13 and 12,194.38 is: 26,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.13 : 12,194.38 = 12,194.38 : x
  2. Step 2: Convert to fraction form
    5,703.13/12,194.38 = 12,194.38/x
  3. Step 3: Cross multiply
    5,703.13x = 12,194.38 × 12,194.38
  4. Step 4: Simplify right side
    5,703.13x = 148,702,781.64
  5. Step 5: Solve for x
    x = 148,702,781.64/5,703.13
  6. Step 6: Final answer
    x = 26,073.91

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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.