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Finding the Third Proportional to 29,355 and 39,324

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Solution

The third proportional to 29,355 and 39,324 is: 52,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,355 : 39,324 = 39,324 : x
  2. Step 2: Convert to fraction form
    29,355/39,324 = 39,324/x
  3. Step 3: Cross multiply
    29,355x = 39,324 × 39,324
  4. Step 4: Simplify right side
    29,355x = 1,546,376,976
  5. Step 5: Solve for x
    x = 1,546,376,976/29,355
  6. Step 6: Final answer
    x = 52,678.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.