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Finding the Third Proportional to 20,643.19 and 41,608.69

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Solution

The third proportional to 20,643.19 and 41,608.69 is: 83,867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.19 : 41,608.69 = 41,608.69 : x
  2. Step 2: Convert to fraction form
    20,643.19/41,608.69 = 41,608.69/x
  3. Step 3: Cross multiply
    20,643.19x = 41,608.69 × 41,608.69
  4. Step 4: Simplify right side
    20,643.19x = 1,731,282,875.47
  5. Step 5: Solve for x
    x = 1,731,282,875.47/20,643.19
  6. Step 6: Final answer
    x = 83,867.03

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.