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Finding the Third Proportional to 43,747 and 65,788

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Solution

The third proportional to 43,747 and 65,788 is: 98,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,747 : 65,788 = 65,788 : x
  2. Step 2: Convert to fraction form
    43,747/65,788 = 65,788/x
  3. Step 3: Cross multiply
    43,747x = 65,788 × 65,788
  4. Step 4: Simplify right side
    43,747x = 4,328,060,944
  5. Step 5: Solve for x
    x = 4,328,060,944/43,747
  6. Step 6: Final answer
    x = 98,933.89

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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.