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Finding the Third Proportional to 869.75 and 1,870.75

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Solution

The third proportional to 869.75 and 1,870.75 is: 4,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.75 : 1,870.75 = 1,870.75 : x
  2. Step 2: Convert to fraction form
    869.75/1,870.75 = 1,870.75/x
  3. Step 3: Cross multiply
    869.75x = 1,870.75 × 1,870.75
  4. Step 4: Simplify right side
    869.75x = 3,499,705.56
  5. Step 5: Solve for x
    x = 3,499,705.56/869.75
  6. Step 6: Final answer
    x = 4,023.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.