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Finding the Third Proportional to 16,716 and 22,410

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Solution

The third proportional to 16,716 and 22,410 is: 30,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,716 : 22,410 = 22,410 : x
  2. Step 2: Convert to fraction form
    16,716/22,410 = 22,410/x
  3. Step 3: Cross multiply
    16,716x = 22,410 × 22,410
  4. Step 4: Simplify right side
    16,716x = 502,208,100
  5. Step 5: Solve for x
    x = 502,208,100/16,716
  6. Step 6: Final answer
    x = 30,043.56

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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.