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Finding the Third Proportional to 29,773.13 and 41,014.13

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Solution

The third proportional to 29,773.13 and 41,014.13 is: 56,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,773.13 : 41,014.13 = 41,014.13 : x
  2. Step 2: Convert to fraction form
    29,773.13/41,014.13 = 41,014.13/x
  3. Step 3: Cross multiply
    29,773.13x = 41,014.13 × 41,014.13
  4. Step 4: Simplify right side
    29,773.13x = 1,682,158,449.52
  5. Step 5: Solve for x
    x = 1,682,158,449.52/29,773.13
  6. Step 6: Final answer
    x = 56,499.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.