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Finding the Third Proportional to 2,693.53 and 4,043.53

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Solution

The third proportional to 2,693.53 and 4,043.53 is: 6,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.53 : 4,043.53 = 4,043.53 : x
  2. Step 2: Convert to fraction form
    2,693.53/4,043.53 = 4,043.53/x
  3. Step 3: Cross multiply
    2,693.53x = 4,043.53 × 4,043.53
  4. Step 4: Simplify right side
    2,693.53x = 16,350,144.97
  5. Step 5: Solve for x
    x = 16,350,144.97/2,693.53
  6. Step 6: Final answer
    x = 6,070.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.