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Finding the Third Proportional to 47,362 and 72,663

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Solution

The third proportional to 47,362 and 72,663 is: 111,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,362 : 72,663 = 72,663 : x
  2. Step 2: Convert to fraction form
    47,362/72,663 = 72,663/x
  3. Step 3: Cross multiply
    47,362x = 72,663 × 72,663
  4. Step 4: Simplify right side
    47,362x = 5,279,911,569
  5. Step 5: Solve for x
    x = 5,279,911,569/47,362
  6. Step 6: Final answer
    x = 111,479.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.