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Finding the Third Proportional to 48,441 and 72,710

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Solution

The third proportional to 48,441 and 72,710 is: 109,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,441 : 72,710 = 72,710 : x
  2. Step 2: Convert to fraction form
    48,441/72,710 = 72,710/x
  3. Step 3: Cross multiply
    48,441x = 72,710 × 72,710
  4. Step 4: Simplify right side
    48,441x = 5,286,744,100
  5. Step 5: Solve for x
    x = 5,286,744,100/48,441
  6. Step 6: Final answer
    x = 109,137.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.