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Finding the Third Proportional to 1,985.77 and 3,046.04

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Solution

The third proportional to 1,985.77 and 3,046.04 is: 4,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.77 : 3,046.04 = 3,046.04 : x
  2. Step 2: Convert to fraction form
    1,985.77/3,046.04 = 3,046.04/x
  3. Step 3: Cross multiply
    1,985.77x = 3,046.04 × 3,046.04
  4. Step 4: Simplify right side
    1,985.77x = 9,278,377.77
  5. Step 5: Solve for x
    x = 9,278,377.77/1,985.77
  6. Step 6: Final answer
    x = 4,672.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.