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Finding the Third Proportional to 39,762 and 84,906

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Solution

The third proportional to 39,762 and 84,906 is: 181,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762 : 84,906 = 84,906 : x
  2. Step 2: Convert to fraction form
    39,762/84,906 = 84,906/x
  3. Step 3: Cross multiply
    39,762x = 84,906 × 84,906
  4. Step 4: Simplify right side
    39,762x = 7,209,028,836
  5. Step 5: Solve for x
    x = 7,209,028,836/39,762
  6. Step 6: Final answer
    x = 181,304.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.