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Finding the Third Proportional to 24,229.50 and 51,963

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Solution

The third proportional to 24,229.50 and 51,963 is: 111,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,229.50 : 51,963 = 51,963 : x
  2. Step 2: Convert to fraction form
    24,229.50/51,963 = 51,963/x
  3. Step 3: Cross multiply
    24,229.50x = 51,963 × 51,963
  4. Step 4: Simplify right side
    24,229.50x = 2,700,153,369
  5. Step 5: Solve for x
    x = 2,700,153,369/24,229.50
  6. Step 6: Final answer
    x = 111,440.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.