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Finding the Third Proportional to 39,382 and 85,324

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Solution

The third proportional to 39,382 and 85,324 is: 184,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,382 : 85,324 = 85,324 : x
  2. Step 2: Convert to fraction form
    39,382/85,324 = 85,324/x
  3. Step 3: Cross multiply
    39,382x = 85,324 × 85,324
  4. Step 4: Simplify right side
    39,382x = 7,280,184,976
  5. Step 5: Solve for x
    x = 7,280,184,976/39,382
  6. Step 6: Final answer
    x = 184,860.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.