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Finding the Third Proportional to 27,021 and 40,423

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Solution

The third proportional to 27,021 and 40,423 is: 60,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,021 : 40,423 = 40,423 : x
  2. Step 2: Convert to fraction form
    27,021/40,423 = 40,423/x
  3. Step 3: Cross multiply
    27,021x = 40,423 × 40,423
  4. Step 4: Simplify right side
    27,021x = 1,634,018,929
  5. Step 5: Solve for x
    x = 1,634,018,929/27,021
  6. Step 6: Final answer
    x = 60,472.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.