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Finding the Third Proportional to 24,421.50 and 65,883.38

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Solution

The third proportional to 24,421.50 and 65,883.38 is: 177,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421.50 : 65,883.38 = 65,883.38 : x
  2. Step 2: Convert to fraction form
    24,421.50/65,883.38 = 65,883.38/x
  3. Step 3: Cross multiply
    24,421.50x = 65,883.38 × 65,883.38
  4. Step 4: Simplify right side
    24,421.50x = 4,340,619,101.39
  5. Step 5: Solve for x
    x = 4,340,619,101.39/24,421.50
  6. Step 6: Final answer
    x = 177,737.61

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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.