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Finding the Third Proportional to 35,776.69 and 87,652.13

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Solution

The third proportional to 35,776.69 and 87,652.13 is: 214,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776.69 : 87,652.13 = 87,652.13 : x
  2. Step 2: Convert to fraction form
    35,776.69/87,652.13 = 87,652.13/x
  3. Step 3: Cross multiply
    35,776.69x = 87,652.13 × 87,652.13
  4. Step 4: Simplify right side
    35,776.69x = 7,682,895,017.02
  5. Step 5: Solve for x
    x = 7,682,895,017.02/35,776.69
  6. Step 6: Final answer
    x = 214,745.85

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.