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Finding the Third Proportional to 38,941.22 and 85,089.87

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Solution

The third proportional to 38,941.22 and 85,089.87 is: 185,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,941.22 : 85,089.87 = 85,089.87 : x
  2. Step 2: Convert to fraction form
    38,941.22/85,089.87 = 85,089.87/x
  3. Step 3: Cross multiply
    38,941.22x = 85,089.87 × 85,089.87
  4. Step 4: Simplify right side
    38,941.22x = 7,240,285,497.99
  5. Step 5: Solve for x
    x = 7,240,285,497.99/38,941.22
  6. Step 6: Final answer
    x = 185,928.55

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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.