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Finding the Third Proportional to 29,896 and 63,632

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Solution

The third proportional to 29,896 and 63,632 is: 135,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896 : 63,632 = 63,632 : x
  2. Step 2: Convert to fraction form
    29,896/63,632 = 63,632/x
  3. Step 3: Cross multiply
    29,896x = 63,632 × 63,632
  4. Step 4: Simplify right side
    29,896x = 4,049,031,424
  5. Step 5: Solve for x
    x = 4,049,031,424/29,896
  6. Step 6: Final answer
    x = 135,437.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.