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Finding the Third Proportional to 24,543 and 51,273

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Solution

The third proportional to 24,543 and 51,273 is: 107,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543 : 51,273 = 51,273 : x
  2. Step 2: Convert to fraction form
    24,543/51,273 = 51,273/x
  3. Step 3: Cross multiply
    24,543x = 51,273 × 51,273
  4. Step 4: Simplify right side
    24,543x = 2,628,920,529
  5. Step 5: Solve for x
    x = 2,628,920,529/24,543
  6. Step 6: Final answer
    x = 107,114.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.