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Finding the Third Proportional to 4,089.75 and 8,362.13

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Solution

The third proportional to 4,089.75 and 8,362.13 is: 17,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.75 : 8,362.13 = 8,362.13 : x
  2. Step 2: Convert to fraction form
    4,089.75/8,362.13 = 8,362.13/x
  3. Step 3: Cross multiply
    4,089.75x = 8,362.13 × 8,362.13
  4. Step 4: Simplify right side
    4,089.75x = 69,925,134.52
  5. Step 5: Solve for x
    x = 69,925,134.52/4,089.75
  6. Step 6: Final answer
    x = 17,097.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.