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Finding the Third Proportional to 3,594.38 and 7,856.25

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Solution

The third proportional to 3,594.38 and 7,856.25 is: 17,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.38 : 7,856.25 = 7,856.25 : x
  2. Step 2: Convert to fraction form
    3,594.38/7,856.25 = 7,856.25/x
  3. Step 3: Cross multiply
    3,594.38x = 7,856.25 × 7,856.25
  4. Step 4: Simplify right side
    3,594.38x = 61,720,664.06
  5. Step 5: Solve for x
    x = 61,720,664.06/3,594.38
  6. Step 6: Final answer
    x = 17,171.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.