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Finding the Third Proportional to 925.03 and 1,981.27

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Solution

The third proportional to 925.03 and 1,981.27 is: 4,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.03 : 1,981.27 = 1,981.27 : x
  2. Step 2: Convert to fraction form
    925.03/1,981.27 = 1,981.27/x
  3. Step 3: Cross multiply
    925.03x = 1,981.27 × 1,981.27
  4. Step 4: Simplify right side
    925.03x = 3,925,413.48
  5. Step 5: Solve for x
    x = 3,925,413.48/925.03
  6. Step 6: Final answer
    x = 4,243.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.