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Finding the Third Proportional to 870.75 and 2,227.50

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Solution

The third proportional to 870.75 and 2,227.50 is: 5,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.75 : 2,227.50 = 2,227.50 : x
  2. Step 2: Convert to fraction form
    870.75/2,227.50 = 2,227.50/x
  3. Step 3: Cross multiply
    870.75x = 2,227.50 × 2,227.50
  4. Step 4: Simplify right side
    870.75x = 4,961,756.25
  5. Step 5: Solve for x
    x = 4,961,756.25/870.75
  6. Step 6: Final answer
    x = 5,698.26

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.