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Finding the Third Proportional to 29,586.94 and 41,616.28

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Solution

The third proportional to 29,586.94 and 41,616.28 is: 58,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586.94 : 41,616.28 = 41,616.28 : x
  2. Step 2: Convert to fraction form
    29,586.94/41,616.28 = 41,616.28/x
  3. Step 3: Cross multiply
    29,586.94x = 41,616.28 × 41,616.28
  4. Step 4: Simplify right side
    29,586.94x = 1,731,914,865.08
  5. Step 5: Solve for x
    x = 1,731,914,865.08/29,586.94
  6. Step 6: Final answer
    x = 58,536.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.