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Finding the Third Proportional to 27,569 and 39,436

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Solution

The third proportional to 27,569 and 39,436 is: 56,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569 : 39,436 = 39,436 : x
  2. Step 2: Convert to fraction form
    27,569/39,436 = 39,436/x
  3. Step 3: Cross multiply
    27,569x = 39,436 × 39,436
  4. Step 4: Simplify right side
    27,569x = 1,555,198,096
  5. Step 5: Solve for x
    x = 1,555,198,096/27,569
  6. Step 6: Final answer
    x = 56,411.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.