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Finding the Third Proportional to 2,859.05 and 6,895.60

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Solution

The third proportional to 2,859.05 and 6,895.60 is: 16,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.05 : 6,895.60 = 6,895.60 : x
  2. Step 2: Convert to fraction form
    2,859.05/6,895.60 = 6,895.60/x
  3. Step 3: Cross multiply
    2,859.05x = 6,895.60 × 6,895.60
  4. Step 4: Simplify right side
    2,859.05x = 47,549,293.97
  5. Step 5: Solve for x
    x = 47,549,293.97/2,859.05
  6. Step 6: Final answer
    x = 16,631.17

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.