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Finding the Third Proportional to 27,747 and 40,644

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Solution

The third proportional to 27,747 and 40,644 is: 59,535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,747 : 40,644 = 40,644 : x
  2. Step 2: Convert to fraction form
    27,747/40,644 = 40,644/x
  3. Step 3: Cross multiply
    27,747x = 40,644 × 40,644
  4. Step 4: Simplify right side
    27,747x = 1,651,934,736
  5. Step 5: Solve for x
    x = 1,651,934,736/27,747
  6. Step 6: Final answer
    x = 59,535.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.