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Finding the Third Proportional to 47,642 and 65,388

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Solution

The third proportional to 47,642 and 65,388 is: 89,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,642 : 65,388 = 65,388 : x
  2. Step 2: Convert to fraction form
    47,642/65,388 = 65,388/x
  3. Step 3: Cross multiply
    47,642x = 65,388 × 65,388
  4. Step 4: Simplify right side
    47,642x = 4,275,590,544
  5. Step 5: Solve for x
    x = 4,275,590,544/47,642
  6. Step 6: Final answer
    x = 89,744.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.