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Finding the Third Proportional to 827.50 and 935.50

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Solution

The third proportional to 827.50 and 935.50 is: 1,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.50 : 935.50 = 935.50 : x
  2. Step 2: Convert to fraction form
    827.50/935.50 = 935.50/x
  3. Step 3: Cross multiply
    827.50x = 935.50 × 935.50
  4. Step 4: Simplify right side
    827.50x = 875,160.25
  5. Step 5: Solve for x
    x = 875,160.25/827.50
  6. Step 6: Final answer
    x = 1,057.60

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.