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Finding the Third Proportional to 35,784 and 54,444

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Solution

The third proportional to 35,784 and 54,444 is: 82,834.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784 : 54,444 = 54,444 : x
  2. Step 2: Convert to fraction form
    35,784/54,444 = 54,444/x
  3. Step 3: Cross multiply
    35,784x = 54,444 × 54,444
  4. Step 4: Simplify right side
    35,784x = 2,964,149,136
  5. Step 5: Solve for x
    x = 2,964,149,136/35,784
  6. Step 6: Final answer
    x = 82,834.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.