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Finding the Third Proportional to 40,083.19 and 86,590.69

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Solution

The third proportional to 40,083.19 and 86,590.69 is: 187,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,083.19 : 86,590.69 = 86,590.69 : x
  2. Step 2: Convert to fraction form
    40,083.19/86,590.69 = 86,590.69/x
  3. Step 3: Cross multiply
    40,083.19x = 86,590.69 × 86,590.69
  4. Step 4: Simplify right side
    40,083.19x = 7,497,947,161.72
  5. Step 5: Solve for x
    x = 7,497,947,161.72/40,083.19
  6. Step 6: Final answer
    x = 187,059.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.