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Finding the Third Proportional to 898.75 and 1,854.50

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Solution

The third proportional to 898.75 and 1,854.50 is: 3,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.75 : 1,854.50 = 1,854.50 : x
  2. Step 2: Convert to fraction form
    898.75/1,854.50 = 1,854.50/x
  3. Step 3: Cross multiply
    898.75x = 1,854.50 × 1,854.50
  4. Step 4: Simplify right side
    898.75x = 3,439,170.25
  5. Step 5: Solve for x
    x = 3,439,170.25/898.75
  6. Step 6: Final answer
    x = 3,826.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.