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Finding the Third Proportional to 16,420 and 24,498

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Solution

The third proportional to 16,420 and 24,498 is: 36,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420 : 24,498 = 24,498 : x
  2. Step 2: Convert to fraction form
    16,420/24,498 = 24,498/x
  3. Step 3: Cross multiply
    16,420x = 24,498 × 24,498
  4. Step 4: Simplify right side
    16,420x = 600,152,004
  5. Step 5: Solve for x
    x = 600,152,004/16,420
  6. Step 6: Final answer
    x = 36,550.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.