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Finding the Third Proportional to 19,919.67 and 27,862.73

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Solution

The third proportional to 19,919.67 and 27,862.73 is: 38,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,919.67 : 27,862.73 = 27,862.73 : x
  2. Step 2: Convert to fraction form
    19,919.67/27,862.73 = 27,862.73/x
  3. Step 3: Cross multiply
    19,919.67x = 27,862.73 × 27,862.73
  4. Step 4: Simplify right side
    19,919.67x = 776,331,966.85
  5. Step 5: Solve for x
    x = 776,331,966.85/19,919.67
  6. Step 6: Final answer
    x = 38,973.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.