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Finding the Third Proportional to 19,074 and 39,468

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Solution

The third proportional to 19,074 and 39,468 is: 81,667.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,074 : 39,468 = 39,468 : x
  2. Step 2: Convert to fraction form
    19,074/39,468 = 39,468/x
  3. Step 3: Cross multiply
    19,074x = 39,468 × 39,468
  4. Step 4: Simplify right side
    19,074x = 1,557,723,024
  5. Step 5: Solve for x
    x = 1,557,723,024/19,074
  6. Step 6: Final answer
    x = 81,667.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.