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Finding the Third Proportional to 16,784 and 24,689

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Solution

The third proportional to 16,784 and 24,689 is: 36,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784 : 24,689 = 24,689 : x
  2. Step 2: Convert to fraction form
    16,784/24,689 = 24,689/x
  3. Step 3: Cross multiply
    16,784x = 24,689 × 24,689
  4. Step 4: Simplify right side
    16,784x = 609,546,721
  5. Step 5: Solve for x
    x = 609,546,721/16,784
  6. Step 6: Final answer
    x = 36,317.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.