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Finding the Third Proportional to 39,089.25 and 92,183.63

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Solution

The third proportional to 39,089.25 and 92,183.63 is: 217,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,089.25 : 92,183.63 = 92,183.63 : x
  2. Step 2: Convert to fraction form
    39,089.25/92,183.63 = 92,183.63/x
  3. Step 3: Cross multiply
    39,089.25x = 92,183.63 × 92,183.63
  4. Step 4: Simplify right side
    39,089.25x = 8,497,820,718.14
  5. Step 5: Solve for x
    x = 8,497,820,718.14/39,089.25
  6. Step 6: Final answer
    x = 217,395.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.