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Finding the Third Proportional to 43,375 and 64,698

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Solution

The third proportional to 43,375 and 64,698 is: 96,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,375 : 64,698 = 64,698 : x
  2. Step 2: Convert to fraction form
    43,375/64,698 = 64,698/x
  3. Step 3: Cross multiply
    43,375x = 64,698 × 64,698
  4. Step 4: Simplify right side
    43,375x = 4,185,831,204
  5. Step 5: Solve for x
    x = 4,185,831,204/43,375
  6. Step 6: Final answer
    x = 96,503.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.