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Finding the Third Proportional to 29,904 and 62,905

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Solution

The third proportional to 29,904 and 62,905 is: 132,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904 : 62,905 = 62,905 : x
  2. Step 2: Convert to fraction form
    29,904/62,905 = 62,905/x
  3. Step 3: Cross multiply
    29,904x = 62,905 × 62,905
  4. Step 4: Simplify right side
    29,904x = 3,957,039,025
  5. Step 5: Solve for x
    x = 3,957,039,025/29,904
  6. Step 6: Final answer
    x = 132,324.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.