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Finding the Third Proportional to 795.66 and 1,748.25

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Solution

The third proportional to 795.66 and 1,748.25 is: 3,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.66 : 1,748.25 = 1,748.25 : x
  2. Step 2: Convert to fraction form
    795.66/1,748.25 = 1,748.25/x
  3. Step 3: Cross multiply
    795.66x = 1,748.25 × 1,748.25
  4. Step 4: Simplify right side
    795.66x = 3,056,378.06
  5. Step 5: Solve for x
    x = 3,056,378.06/795.66
  6. Step 6: Final answer
    x = 3,841.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.