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Finding the Third Proportional to 41,944.50 and 64,010.25

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Solution

The third proportional to 41,944.50 and 64,010.25 is: 97,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,944.50 : 64,010.25 = 64,010.25 : x
  2. Step 2: Convert to fraction form
    41,944.50/64,010.25 = 64,010.25/x
  3. Step 3: Cross multiply
    41,944.50x = 64,010.25 × 64,010.25
  4. Step 4: Simplify right side
    41,944.50x = 4,097,312,105.06
  5. Step 5: Solve for x
    x = 4,097,312,105.06/41,944.50
  6. Step 6: Final answer
    x = 97,684.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.