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Finding the Third Proportional to 29,637 and 69,959.25

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Solution

The third proportional to 29,637 and 69,959.25 is: 165,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,637 : 69,959.25 = 69,959.25 : x
  2. Step 2: Convert to fraction form
    29,637/69,959.25 = 69,959.25/x
  3. Step 3: Cross multiply
    29,637x = 69,959.25 × 69,959.25
  4. Step 4: Simplify right side
    29,637x = 4,894,296,660.56
  5. Step 5: Solve for x
    x = 4,894,296,660.56/29,637
  6. Step 6: Final answer
    x = 165,141.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.