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Finding the Third Proportional to 23,587 and 51,385

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Solution

The third proportional to 23,587 and 51,385 is: 111,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,587 : 51,385 = 51,385 : x
  2. Step 2: Convert to fraction form
    23,587/51,385 = 51,385/x
  3. Step 3: Cross multiply
    23,587x = 51,385 × 51,385
  4. Step 4: Simplify right side
    23,587x = 2,640,418,225
  5. Step 5: Solve for x
    x = 2,640,418,225/23,587
  6. Step 6: Final answer
    x = 111,943.79

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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.