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Finding the Third Proportional to 825 and 883.50

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Solution

The third proportional to 825 and 883.50 is: 946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    825 : 883.50 = 883.50 : x
  2. Step 2: Convert to fraction form
    825/883.50 = 883.50/x
  3. Step 3: Cross multiply
    825x = 883.50 × 883.50
  4. Step 4: Simplify right side
    825x = 780,572.25
  5. Step 5: Solve for x
    x = 780,572.25/825
  6. Step 6: Final answer
    x = 946.15

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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.