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Finding the Third Proportional to 47,696 and 65,710

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Solution

The third proportional to 47,696 and 65,710 is: 90,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,696 : 65,710 = 65,710 : x
  2. Step 2: Convert to fraction form
    47,696/65,710 = 65,710/x
  3. Step 3: Cross multiply
    47,696x = 65,710 × 65,710
  4. Step 4: Simplify right side
    47,696x = 4,317,804,100
  5. Step 5: Solve for x
    x = 4,317,804,100/47,696
  6. Step 6: Final answer
    x = 90,527.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.