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Finding the Third Proportional to 35,661.75 and 55,189.13

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Solution

The third proportional to 35,661.75 and 55,189.13 is: 85,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,661.75 : 55,189.13 = 55,189.13 : x
  2. Step 2: Convert to fraction form
    35,661.75/55,189.13 = 55,189.13/x
  3. Step 3: Cross multiply
    35,661.75x = 55,189.13 × 55,189.13
  4. Step 4: Simplify right side
    35,661.75x = 3,045,839,518.27
  5. Step 5: Solve for x
    x = 3,045,839,518.27/35,661.75
  6. Step 6: Final answer
    x = 85,409.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.