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Finding the Third Proportional to 2,648.53 and 4,122.14

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Solution

The third proportional to 2,648.53 and 4,122.14 is: 6,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.53 : 4,122.14 = 4,122.14 : x
  2. Step 2: Convert to fraction form
    2,648.53/4,122.14 = 4,122.14/x
  3. Step 3: Cross multiply
    2,648.53x = 4,122.14 × 4,122.14
  4. Step 4: Simplify right side
    2,648.53x = 16,992,043.33
  5. Step 5: Solve for x
    x = 16,992,043.33/2,648.53
  6. Step 6: Final answer
    x = 6,415.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.