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Finding the Third Proportional to 22,037 and 31,413.50

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Solution

The third proportional to 22,037 and 31,413.50 is: 44,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,037 : 31,413.50 = 31,413.50 : x
  2. Step 2: Convert to fraction form
    22,037/31,413.50 = 31,413.50/x
  3. Step 3: Cross multiply
    22,037x = 31,413.50 × 31,413.50
  4. Step 4: Simplify right side
    22,037x = 986,807,982.25
  5. Step 5: Solve for x
    x = 986,807,982.25/22,037
  6. Step 6: Final answer
    x = 44,779.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.