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Finding the Third Proportional to 1,648.79 and 2,335.43

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Solution

The third proportional to 1,648.79 and 2,335.43 is: 3,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.79 : 2,335.43 = 2,335.43 : x
  2. Step 2: Convert to fraction form
    1,648.79/2,335.43 = 2,335.43/x
  3. Step 3: Cross multiply
    1,648.79x = 2,335.43 × 2,335.43
  4. Step 4: Simplify right side
    1,648.79x = 5,454,252.35
  5. Step 5: Solve for x
    x = 5,454,252.35/1,648.79
  6. Step 6: Final answer
    x = 3,308.03

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.