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Finding the Third Proportional to 24,262.88 and 52,797.38

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Solution

The third proportional to 24,262.88 and 52,797.38 is: 114,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262.88 : 52,797.38 = 52,797.38 : x
  2. Step 2: Convert to fraction form
    24,262.88/52,797.38 = 52,797.38/x
  3. Step 3: Cross multiply
    24,262.88x = 52,797.38 × 52,797.38
  4. Step 4: Simplify right side
    24,262.88x = 2,787,562,806.89
  5. Step 5: Solve for x
    x = 2,787,562,806.89/24,262.88
  6. Step 6: Final answer
    x = 114,890.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.