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Finding the Third Proportional to 870 and 930.75

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Solution

The third proportional to 870 and 930.75 is: 995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    870 : 930.75 = 930.75 : x
  2. Step 2: Convert to fraction form
    870/930.75 = 930.75/x
  3. Step 3: Cross multiply
    870x = 930.75 × 930.75
  4. Step 4: Simplify right side
    870x = 866,295.56
  5. Step 5: Solve for x
    x = 866,295.56/870
  6. Step 6: Final answer
    x = 995.74

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.