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Finding the Third Proportional to 47,907 and 72,523

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Solution

The third proportional to 47,907 and 72,523 is: 109,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,907 : 72,523 = 72,523 : x
  2. Step 2: Convert to fraction form
    47,907/72,523 = 72,523/x
  3. Step 3: Cross multiply
    47,907x = 72,523 × 72,523
  4. Step 4: Simplify right side
    47,907x = 5,259,585,529
  5. Step 5: Solve for x
    x = 5,259,585,529/47,907
  6. Step 6: Final answer
    x = 109,787.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.