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Finding the Third Proportional to 16,971.75 and 28,282.50

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Solution

The third proportional to 16,971.75 and 28,282.50 is: 47,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.75 : 28,282.50 = 28,282.50 : x
  2. Step 2: Convert to fraction form
    16,971.75/28,282.50 = 28,282.50/x
  3. Step 3: Cross multiply
    16,971.75x = 28,282.50 × 28,282.50
  4. Step 4: Simplify right side
    16,971.75x = 799,899,806.25
  5. Step 5: Solve for x
    x = 799,899,806.25/16,971.75
  6. Step 6: Final answer
    x = 47,131.25

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.