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Finding the Third Proportional to 22,020 and 49,084.50

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Solution

The third proportional to 22,020 and 49,084.50 is: 109,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,020 : 49,084.50 = 49,084.50 : x
  2. Step 2: Convert to fraction form
    22,020/49,084.50 = 49,084.50/x
  3. Step 3: Cross multiply
    22,020x = 49,084.50 × 49,084.50
  4. Step 4: Simplify right side
    22,020x = 2,409,288,140.25
  5. Step 5: Solve for x
    x = 2,409,288,140.25/22,020
  6. Step 6: Final answer
    x = 109,413.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.