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Finding the Third Proportional to 39,468 and 84,471

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Solution

The third proportional to 39,468 and 84,471 is: 180,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,468 : 84,471 = 84,471 : x
  2. Step 2: Convert to fraction form
    39,468/84,471 = 84,471/x
  3. Step 3: Cross multiply
    39,468x = 84,471 × 84,471
  4. Step 4: Simplify right side
    39,468x = 7,135,349,841
  5. Step 5: Solve for x
    x = 7,135,349,841/39,468
  6. Step 6: Final answer
    x = 180,788.23

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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.