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Finding the Third Proportional to 3,653.07 and 5,693.41

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Solution

The third proportional to 3,653.07 and 5,693.41 is: 8,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.07 : 5,693.41 = 5,693.41 : x
  2. Step 2: Convert to fraction form
    3,653.07/5,693.41 = 5,693.41/x
  3. Step 3: Cross multiply
    3,653.07x = 5,693.41 × 5,693.41
  4. Step 4: Simplify right side
    3,653.07x = 32,414,963.69
  5. Step 5: Solve for x
    x = 32,414,963.69/3,653.07
  6. Step 6: Final answer
    x = 8,873.35

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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.