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Finding the Third Proportional to 22,601 and 40,423

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Solution

The third proportional to 22,601 and 40,423 is: 72,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,601 : 40,423 = 40,423 : x
  2. Step 2: Convert to fraction form
    22,601/40,423 = 40,423/x
  3. Step 3: Cross multiply
    22,601x = 40,423 × 40,423
  4. Step 4: Simplify right side
    22,601x = 1,634,018,929
  5. Step 5: Solve for x
    x = 1,634,018,929/22,601
  6. Step 6: Final answer
    x = 72,298.52

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.