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Finding the Third Proportional to 39,022 and 86,480

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Solution

The third proportional to 39,022 and 86,480 is: 191,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,022 : 86,480 = 86,480 : x
  2. Step 2: Convert to fraction form
    39,022/86,480 = 86,480/x
  3. Step 3: Cross multiply
    39,022x = 86,480 × 86,480
  4. Step 4: Simplify right side
    39,022x = 7,478,790,400
  5. Step 5: Solve for x
    x = 7,478,790,400/39,022
  6. Step 6: Final answer
    x = 191,655.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.