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Finding the Third Proportional to 24,659.44 and 38,642.06

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Solution

The third proportional to 24,659.44 and 38,642.06 is: 60,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659.44 : 38,642.06 = 38,642.06 : x
  2. Step 2: Convert to fraction form
    24,659.44/38,642.06 = 38,642.06/x
  3. Step 3: Cross multiply
    24,659.44x = 38,642.06 × 38,642.06
  4. Step 4: Simplify right side
    24,659.44x = 1,493,208,994.25
  5. Step 5: Solve for x
    x = 1,493,208,994.25/24,659.44
  6. Step 6: Final answer
    x = 60,553.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.