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Finding the Third Proportional to 35,857.69 and 55,297.69

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Solution

The third proportional to 35,857.69 and 55,297.69 is: 85,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.69 : 55,297.69 = 55,297.69 : x
  2. Step 2: Convert to fraction form
    35,857.69/55,297.69 = 55,297.69/x
  3. Step 3: Cross multiply
    35,857.69x = 55,297.69 × 55,297.69
  4. Step 4: Simplify right side
    35,857.69x = 3,057,834,242.85
  5. Step 5: Solve for x
    x = 3,057,834,242.85/35,857.69
  6. Step 6: Final answer
    x = 85,276.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.