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Finding the Third Proportional to 29,216.25 and 41,635.13

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Solution

The third proportional to 29,216.25 and 41,635.13 is: 59,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,216.25 : 41,635.13 = 41,635.13 : x
  2. Step 2: Convert to fraction form
    29,216.25/41,635.13 = 41,635.13/x
  3. Step 3: Cross multiply
    29,216.25x = 41,635.13 × 41,635.13
  4. Step 4: Simplify right side
    29,216.25x = 1,733,483,633.77
  5. Step 5: Solve for x
    x = 1,733,483,633.77/29,216.25
  6. Step 6: Final answer
    x = 59,332.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.