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Finding the Third Proportional to 2,703.38 and 5,915.53

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Solution

The third proportional to 2,703.38 and 5,915.53 is: 12,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.38 : 5,915.53 = 5,915.53 : x
  2. Step 2: Convert to fraction form
    2,703.38/5,915.53 = 5,915.53/x
  3. Step 3: Cross multiply
    2,703.38x = 5,915.53 × 5,915.53
  4. Step 4: Simplify right side
    2,703.38x = 34,993,509.97
  5. Step 5: Solve for x
    x = 34,993,509.97/2,703.38
  6. Step 6: Final answer
    x = 12,944.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.