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Finding the Third Proportional to 24,686.44 and 38,294.44

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Solution

The third proportional to 24,686.44 and 38,294.44 is: 59,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,686.44 : 38,294.44 = 38,294.44 : x
  2. Step 2: Convert to fraction form
    24,686.44/38,294.44 = 38,294.44/x
  3. Step 3: Cross multiply
    24,686.44x = 38,294.44 × 38,294.44
  4. Step 4: Simplify right side
    24,686.44x = 1,466,463,943.44
  5. Step 5: Solve for x
    x = 1,466,463,943.44/24,686.44
  6. Step 6: Final answer
    x = 59,403.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.