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Finding the Third Proportional to 19,044.75 and 44,082.38

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Solution

The third proportional to 19,044.75 and 44,082.38 is: 102,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,044.75 : 44,082.38 = 44,082.38 : x
  2. Step 2: Convert to fraction form
    19,044.75/44,082.38 = 44,082.38/x
  3. Step 3: Cross multiply
    19,044.75x = 44,082.38 × 44,082.38
  4. Step 4: Simplify right side
    19,044.75x = 1,943,255,785.64
  5. Step 5: Solve for x
    x = 1,943,255,785.64/19,044.75
  6. Step 6: Final answer
    x = 102,036.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.