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Finding the Third Proportional to 856.97 and 1,847.53

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Solution

The third proportional to 856.97 and 1,847.53 is: 3,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.97 : 1,847.53 = 1,847.53 : x
  2. Step 2: Convert to fraction form
    856.97/1,847.53 = 1,847.53/x
  3. Step 3: Cross multiply
    856.97x = 1,847.53 × 1,847.53
  4. Step 4: Simplify right side
    856.97x = 3,413,371.72
  5. Step 5: Solve for x
    x = 3,413,371.72/856.97
  6. Step 6: Final answer
    x = 3,983.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.