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Finding the Third Proportional to 35,669.25 and 82,594.13

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Solution

The third proportional to 35,669.25 and 82,594.13 is: 191,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,669.25 : 82,594.13 = 82,594.13 : x
  2. Step 2: Convert to fraction form
    35,669.25/82,594.13 = 82,594.13/x
  3. Step 3: Cross multiply
    35,669.25x = 82,594.13 × 82,594.13
  4. Step 4: Simplify right side
    35,669.25x = 6,821,789,484.52
  5. Step 5: Solve for x
    x = 6,821,789,484.52/35,669.25
  6. Step 6: Final answer
    x = 191,251.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.