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Finding the Third Proportional to 856.75 and 946.75

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Solution

The third proportional to 856.75 and 946.75 is: 1,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.75 : 946.75 = 946.75 : x
  2. Step 2: Convert to fraction form
    856.75/946.75 = 946.75/x
  3. Step 3: Cross multiply
    856.75x = 946.75 × 946.75
  4. Step 4: Simplify right side
    856.75x = 896,335.56
  5. Step 5: Solve for x
    x = 896,335.56/856.75
  6. Step 6: Final answer
    x = 1,046.20

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.