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Finding the Third Proportional to 27,762 and 40,665

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Solution

The third proportional to 27,762 and 40,665 is: 59,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762 : 40,665 = 40,665 : x
  2. Step 2: Convert to fraction form
    27,762/40,665 = 40,665/x
  3. Step 3: Cross multiply
    27,762x = 40,665 × 40,665
  4. Step 4: Simplify right side
    27,762x = 1,653,642,225
  5. Step 5: Solve for x
    x = 1,653,642,225/27,762
  6. Step 6: Final answer
    x = 59,564.95

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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.