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Finding the Third Proportional to 16,124 and 24,664

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Solution

The third proportional to 16,124 and 24,664 is: 37,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124 : 24,664 = 24,664 : x
  2. Step 2: Convert to fraction form
    16,124/24,664 = 24,664/x
  3. Step 3: Cross multiply
    16,124x = 24,664 × 24,664
  4. Step 4: Simplify right side
    16,124x = 608,312,896
  5. Step 5: Solve for x
    x = 608,312,896/16,124
  6. Step 6: Final answer
    x = 37,727.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.