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Finding the Third Proportional to 41,990.13 and 64,205.25

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Solution

The third proportional to 41,990.13 and 64,205.25 is: 98,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,990.13 : 64,205.25 = 64,205.25 : x
  2. Step 2: Convert to fraction form
    41,990.13/64,205.25 = 64,205.25/x
  3. Step 3: Cross multiply
    41,990.13x = 64,205.25 × 64,205.25
  4. Step 4: Simplify right side
    41,990.13x = 4,122,314,127.56
  5. Step 5: Solve for x
    x = 4,122,314,127.56/41,990.13
  6. Step 6: Final answer
    x = 98,173.42

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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.