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Finding the Third Proportional to 16,716 and 22,371

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Solution

The third proportional to 16,716 and 22,371 is: 29,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716 : 22,371 = 22,371 : x
  2. Step 2: Convert to fraction form
    16,716/22,371 = 22,371/x
  3. Step 3: Cross multiply
    16,716x = 22,371 × 22,371
  4. Step 4: Simplify right side
    16,716x = 500,461,641
  5. Step 5: Solve for x
    x = 500,461,641/16,716
  6. Step 6: Final answer
    x = 29,939.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.