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Finding the Third Proportional to 852.19 and 935.72

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Solution

The third proportional to 852.19 and 935.72 is: 1,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.19 : 935.72 = 935.72 : x
  2. Step 2: Convert to fraction form
    852.19/935.72 = 935.72/x
  3. Step 3: Cross multiply
    852.19x = 935.72 × 935.72
  4. Step 4: Simplify right side
    852.19x = 875,569.58
  5. Step 5: Solve for x
    x = 875,569.58/852.19
  6. Step 6: Final answer
    x = 1,027.44

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.