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Finding the Third Proportional to 19,950 and 42,208.50

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Solution

The third proportional to 19,950 and 42,208.50 is: 89,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,950 : 42,208.50 = 42,208.50 : x
  2. Step 2: Convert to fraction form
    19,950/42,208.50 = 42,208.50/x
  3. Step 3: Cross multiply
    19,950x = 42,208.50 × 42,208.50
  4. Step 4: Simplify right side
    19,950x = 1,781,557,472.25
  5. Step 5: Solve for x
    x = 1,781,557,472.25/19,950
  6. Step 6: Final answer
    x = 89,301.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.