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Finding the Third Proportional to 892.69 and 933.19

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Solution

The third proportional to 892.69 and 933.19 is: 975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.69 : 933.19 = 933.19 : x
  2. Step 2: Convert to fraction form
    892.69/933.19 = 933.19/x
  3. Step 3: Cross multiply
    892.69x = 933.19 × 933.19
  4. Step 4: Simplify right side
    892.69x = 870,838.91
  5. Step 5: Solve for x
    x = 870,838.91/892.69
  6. Step 6: Final answer
    x = 975.52

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Why These Related Problems?

These problems maintain the same ratio (1.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.