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Finding the Third Proportional to 5,659.66 and 12,291.68

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Solution

The third proportional to 5,659.66 and 12,291.68 is: 26,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.66 : 12,291.68 = 12,291.68 : x
  2. Step 2: Convert to fraction form
    5,659.66/12,291.68 = 12,291.68/x
  3. Step 3: Cross multiply
    5,659.66x = 12,291.68 × 12,291.68
  4. Step 4: Simplify right side
    5,659.66x = 151,085,389.54
  5. Step 5: Solve for x
    x = 151,085,389.54/5,659.66
  6. Step 6: Final answer
    x = 26,695.12

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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.