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Finding the Third Proportional to 19,071.75 and 44,296.13

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Solution

The third proportional to 19,071.75 and 44,296.13 is: 102,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,071.75 : 44,296.13 = 44,296.13 : x
  2. Step 2: Convert to fraction form
    19,071.75/44,296.13 = 44,296.13/x
  3. Step 3: Cross multiply
    19,071.75x = 44,296.13 × 44,296.13
  4. Step 4: Simplify right side
    19,071.75x = 1,962,146,690.02
  5. Step 5: Solve for x
    x = 1,962,146,690.02/19,071.75
  6. Step 6: Final answer
    x = 102,882.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.