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Finding the Third Proportional to 5,838.75 and 12,659.63

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Solution

The third proportional to 5,838.75 and 12,659.63 is: 27,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.75 : 12,659.63 = 12,659.63 : x
  2. Step 2: Convert to fraction form
    5,838.75/12,659.63 = 12,659.63/x
  3. Step 3: Cross multiply
    5,838.75x = 12,659.63 × 12,659.63
  4. Step 4: Simplify right side
    5,838.75x = 160,266,105.14
  5. Step 5: Solve for x
    x = 160,266,105.14/5,838.75
  6. Step 6: Final answer
    x = 27,448.70

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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.