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Finding the Third Proportional to 41,253.75 and 64,346.06

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Solution

The third proportional to 41,253.75 and 64,346.06 is: 100,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,253.75 : 64,346.06 = 64,346.06 : x
  2. Step 2: Convert to fraction form
    41,253.75/64,346.06 = 64,346.06/x
  3. Step 3: Cross multiply
    41,253.75x = 64,346.06 × 64,346.06
  4. Step 4: Simplify right side
    41,253.75x = 4,140,415,759.25
  5. Step 5: Solve for x
    x = 4,140,415,759.25/41,253.75
  6. Step 6: Final answer
    x = 100,364.59

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.