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Finding the Third Proportional to 19,067.25 and 44,541

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Solution

The third proportional to 19,067.25 and 44,541 is: 104,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,067.25 : 44,541 = 44,541 : x
  2. Step 2: Convert to fraction form
    19,067.25/44,541 = 44,541/x
  3. Step 3: Cross multiply
    19,067.25x = 44,541 × 44,541
  4. Step 4: Simplify right side
    19,067.25x = 1,983,900,681
  5. Step 5: Solve for x
    x = 1,983,900,681/19,067.25
  6. Step 6: Final answer
    x = 104,047.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.