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Finding the Third Proportional to 16,406 and 24,605

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Solution

The third proportional to 16,406 and 24,605 is: 36,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406 : 24,605 = 24,605 : x
  2. Step 2: Convert to fraction form
    16,406/24,605 = 24,605/x
  3. Step 3: Cross multiply
    16,406x = 24,605 × 24,605
  4. Step 4: Simplify right side
    16,406x = 605,406,025
  5. Step 5: Solve for x
    x = 605,406,025/16,406
  6. Step 6: Final answer
    x = 36,901.50

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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.