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Finding the Third Proportional to 16,284.75 and 21,510.75

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Solution

The third proportional to 16,284.75 and 21,510.75 is: 28,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.75 : 21,510.75 = 21,510.75 : x
  2. Step 2: Convert to fraction form
    16,284.75/21,510.75 = 21,510.75/x
  3. Step 3: Cross multiply
    16,284.75x = 21,510.75 × 21,510.75
  4. Step 4: Simplify right side
    16,284.75x = 462,712,365.56
  5. Step 5: Solve for x
    x = 462,712,365.56/16,284.75
  6. Step 6: Final answer
    x = 28,413.85

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.