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Finding the Third Proportional to 24,333.75 and 52,306.88

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Solution

The third proportional to 24,333.75 and 52,306.88 is: 112,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.75 : 52,306.88 = 52,306.88 : x
  2. Step 2: Convert to fraction form
    24,333.75/52,306.88 = 52,306.88/x
  3. Step 3: Cross multiply
    24,333.75x = 52,306.88 × 52,306.88
  4. Step 4: Simplify right side
    24,333.75x = 2,736,009,172.27
  5. Step 5: Solve for x
    x = 2,736,009,172.27/24,333.75
  6. Step 6: Final answer
    x = 112,436.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.