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Finding the Third Proportional to 795.38 and 1,110.94

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Solution

The third proportional to 795.38 and 1,110.94 is: 1,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.38 : 1,110.94 = 1,110.94 : x
  2. Step 2: Convert to fraction form
    795.38/1,110.94 = 1,110.94/x
  3. Step 3: Cross multiply
    795.38x = 1,110.94 × 1,110.94
  4. Step 4: Simplify right side
    795.38x = 1,234,182.13
  5. Step 5: Solve for x
    x = 1,234,182.13/795.38
  6. Step 6: Final answer
    x = 1,551.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.