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Finding the Third Proportional to 47,905 and 72,520

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Solution

The third proportional to 47,905 and 72,520 is: 109,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,905 : 72,520 = 72,520 : x
  2. Step 2: Convert to fraction form
    47,905/72,520 = 72,520/x
  3. Step 3: Cross multiply
    47,905x = 72,520 × 72,520
  4. Step 4: Simplify right side
    47,905x = 5,259,150,400
  5. Step 5: Solve for x
    x = 5,259,150,400/47,905
  6. Step 6: Final answer
    x = 109,782.91

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