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Finding the Third Proportional to 4,108.16 and 8,993.75

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Solution

The third proportional to 4,108.16 and 8,993.75 is: 19,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.16 : 8,993.75 = 8,993.75 : x
  2. Step 2: Convert to fraction form
    4,108.16/8,993.75 = 8,993.75/x
  3. Step 3: Cross multiply
    4,108.16x = 8,993.75 × 8,993.75
  4. Step 4: Simplify right side
    4,108.16x = 80,887,539.06
  5. Step 5: Solve for x
    x = 80,887,539.06/4,108.16
  6. Step 6: Final answer
    x = 19,689.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.