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Finding the Third Proportional to 43,837.50 and 64,116

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Solution

The third proportional to 43,837.50 and 64,116 is: 93,775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,837.50 : 64,116 = 64,116 : x
  2. Step 2: Convert to fraction form
    43,837.50/64,116 = 64,116/x
  3. Step 3: Cross multiply
    43,837.50x = 64,116 × 64,116
  4. Step 4: Simplify right side
    43,837.50x = 4,110,861,456
  5. Step 5: Solve for x
    x = 4,110,861,456/43,837.50
  6. Step 6: Final answer
    x = 93,775.00

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.