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Finding the Third Proportional to 16,710.05 and 21,400.14

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Solution

The third proportional to 16,710.05 and 21,400.14 is: 27,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,710.05 : 21,400.14 = 21,400.14 : x
  2. Step 2: Convert to fraction form
    16,710.05/21,400.14 = 21,400.14/x
  3. Step 3: Cross multiply
    16,710.05x = 21,400.14 × 21,400.14
  4. Step 4: Simplify right side
    16,710.05x = 457,965,851.58
  5. Step 5: Solve for x
    x = 457,965,851.58/16,710.05
  6. Step 6: Final answer
    x = 27,406.62

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.