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Finding the Third Proportional to 24,603.75 and 38,169.98

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Solution

The third proportional to 24,603.75 and 38,169.98 is: 59,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603.75 : 38,169.98 = 38,169.98 : x
  2. Step 2: Convert to fraction form
    24,603.75/38,169.98 = 38,169.98/x
  3. Step 3: Cross multiply
    24,603.75x = 38,169.98 × 38,169.98
  4. Step 4: Simplify right side
    24,603.75x = 1,456,947,707.19
  5. Step 5: Solve for x
    x = 1,456,947,707.19/24,603.75
  6. Step 6: Final answer
    x = 59,216.49

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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.