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Finding the Third Proportional to 1,333.41 and 1,965.80

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Solution

The third proportional to 1,333.41 and 1,965.80 is: 2,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.41 : 1,965.80 = 1,965.80 : x
  2. Step 2: Convert to fraction form
    1,333.41/1,965.80 = 1,965.80/x
  3. Step 3: Cross multiply
    1,333.41x = 1,965.80 × 1,965.80
  4. Step 4: Simplify right side
    1,333.41x = 3,864,357.35
  5. Step 5: Solve for x
    x = 3,864,357.35/1,333.41
  6. Step 6: Final answer
    x = 2,898.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.