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Finding the Third Proportional to 16,140.50 and 21,647.75

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Solution

The third proportional to 16,140.50 and 21,647.75 is: 29,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.50 : 21,647.75 = 21,647.75 : x
  2. Step 2: Convert to fraction form
    16,140.50/21,647.75 = 21,647.75/x
  3. Step 3: Cross multiply
    16,140.50x = 21,647.75 × 21,647.75
  4. Step 4: Simplify right side
    16,140.50x = 468,625,080.06
  5. Step 5: Solve for x
    x = 468,625,080.06/16,140.50
  6. Step 6: Final answer
    x = 29,034.11

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.