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Finding the Third Proportional to 14,210 and 19,958

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Solution

The third proportional to 14,210 and 19,958 is: 28,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210 : 19,958 = 19,958 : x
  2. Step 2: Convert to fraction form
    14,210/19,958 = 19,958/x
  3. Step 3: Cross multiply
    14,210x = 19,958 × 19,958
  4. Step 4: Simplify right side
    14,210x = 398,321,764
  5. Step 5: Solve for x
    x = 398,321,764/14,210
  6. Step 6: Final answer
    x = 28,031.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.