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Finding the Third Proportional to 43,448 and 64,980

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Solution

The third proportional to 43,448 and 64,980 is: 97,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,448 : 64,980 = 64,980 : x
  2. Step 2: Convert to fraction form
    43,448/64,980 = 64,980/x
  3. Step 3: Cross multiply
    43,448x = 64,980 × 64,980
  4. Step 4: Simplify right side
    43,448x = 4,222,400,400
  5. Step 5: Solve for x
    x = 4,222,400,400/43,448
  6. Step 6: Final answer
    x = 97,182.85

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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.