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Finding the Third Proportional to 29,747 and 64,393

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Solution

The third proportional to 29,747 and 64,393 is: 139,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,747 : 64,393 = 64,393 : x
  2. Step 2: Convert to fraction form
    29,747/64,393 = 64,393/x
  3. Step 3: Cross multiply
    29,747x = 64,393 × 64,393
  4. Step 4: Simplify right side
    29,747x = 4,146,458,449
  5. Step 5: Solve for x
    x = 4,146,458,449/29,747
  6. Step 6: Final answer
    x = 139,390.81

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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.