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Finding the Third Proportional to 29,899 and 46,908

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Solution

The third proportional to 29,899 and 46,908 is: 73,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,899 : 46,908 = 46,908 : x
  2. Step 2: Convert to fraction form
    29,899/46,908 = 46,908/x
  3. Step 3: Cross multiply
    29,899x = 46,908 × 46,908
  4. Step 4: Simplify right side
    29,899x = 2,200,360,464
  5. Step 5: Solve for x
    x = 2,200,360,464/29,899
  6. Step 6: Final answer
    x = 73,593.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.