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Finding the Third Proportional to 45,673.88 and 81,496.13

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Solution

The third proportional to 45,673.88 and 81,496.13 is: 145,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673.88 : 81,496.13 = 81,496.13 : x
  2. Step 2: Convert to fraction form
    45,673.88/81,496.13 = 81,496.13/x
  3. Step 3: Cross multiply
    45,673.88x = 81,496.13 × 81,496.13
  4. Step 4: Simplify right side
    45,673.88x = 6,641,618,390.02
  5. Step 5: Solve for x
    x = 6,641,618,390.02/45,673.88
  6. Step 6: Final answer
    x = 145,413.95

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.