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Finding the Third Proportional to 24,741.75 and 38,224.13

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Solution

The third proportional to 24,741.75 and 38,224.13 is: 59,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.75 : 38,224.13 = 38,224.13 : x
  2. Step 2: Convert to fraction form
    24,741.75/38,224.13 = 38,224.13/x
  3. Step 3: Cross multiply
    24,741.75x = 38,224.13 × 38,224.13
  4. Step 4: Simplify right side
    24,741.75x = 1,461,083,732.02
  5. Step 5: Solve for x
    x = 1,461,083,732.02/24,741.75
  6. Step 6: Final answer
    x = 59,053.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.