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Finding the Third Proportional to 7,693.13 and 16,563.19

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Solution

The third proportional to 7,693.13 and 16,563.19 is: 35,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.13 : 16,563.19 = 16,563.19 : x
  2. Step 2: Convert to fraction form
    7,693.13/16,563.19 = 16,563.19/x
  3. Step 3: Cross multiply
    7,693.13x = 16,563.19 × 16,563.19
  4. Step 4: Simplify right side
    7,693.13x = 274,339,180.16
  5. Step 5: Solve for x
    x = 274,339,180.16/7,693.13
  6. Step 6: Final answer
    x = 35,660.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.