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Finding the Third Proportional to 35,747 and 54,389

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Solution

The third proportional to 35,747 and 54,389 is: 82,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,747 : 54,389 = 54,389 : x
  2. Step 2: Convert to fraction form
    35,747/54,389 = 54,389/x
  3. Step 3: Cross multiply
    35,747x = 54,389 × 54,389
  4. Step 4: Simplify right side
    35,747x = 2,958,163,321
  5. Step 5: Solve for x
    x = 2,958,163,321/35,747
  6. Step 6: Final answer
    x = 82,752.77

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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.