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Finding the Third Proportional to 23,551 and 51,529

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Solution

The third proportional to 23,551 and 51,529 is: 112,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,551 : 51,529 = 51,529 : x
  2. Step 2: Convert to fraction form
    23,551/51,529 = 51,529/x
  3. Step 3: Cross multiply
    23,551x = 51,529 × 51,529
  4. Step 4: Simplify right side
    23,551x = 2,655,237,841
  5. Step 5: Solve for x
    x = 2,655,237,841/23,551
  6. Step 6: Final answer
    x = 112,744.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.