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Finding the Third Proportional to 2,359.97 and 3,301.59

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Solution

The third proportional to 2,359.97 and 3,301.59 is: 4,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.97 : 3,301.59 = 3,301.59 : x
  2. Step 2: Convert to fraction form
    2,359.97/3,301.59 = 3,301.59/x
  3. Step 3: Cross multiply
    2,359.97x = 3,301.59 × 3,301.59
  4. Step 4: Simplify right side
    2,359.97x = 10,900,521.29
  5. Step 5: Solve for x
    x = 10,900,521.29/2,359.97
  6. Step 6: Final answer
    x = 4,618.93

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