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Finding the Third Proportional to 9,083.53 and 19,558.41

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Solution

The third proportional to 9,083.53 and 19,558.41 is: 42,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.53 : 19,558.41 = 19,558.41 : x
  2. Step 2: Convert to fraction form
    9,083.53/19,558.41 = 19,558.41/x
  3. Step 3: Cross multiply
    9,083.53x = 19,558.41 × 19,558.41
  4. Step 4: Simplify right side
    9,083.53x = 382,531,255.04
  5. Step 5: Solve for x
    x = 382,531,255.04/9,083.53
  6. Step 6: Final answer
    x = 42,112.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.