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Finding the Third Proportional to 39,024 and 84,352

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Solution

The third proportional to 39,024 and 84,352 is: 182,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,024 : 84,352 = 84,352 : x
  2. Step 2: Convert to fraction form
    39,024/84,352 = 84,352/x
  3. Step 3: Cross multiply
    39,024x = 84,352 × 84,352
  4. Step 4: Simplify right side
    39,024x = 7,115,259,904
  5. Step 5: Solve for x
    x = 7,115,259,904/39,024
  6. Step 6: Final answer
    x = 182,330.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.