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Finding the Third Proportional to 19,014 and 27,972

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Solution

The third proportional to 19,014 and 27,972 is: 41,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,014 : 27,972 = 27,972 : x
  2. Step 2: Convert to fraction form
    19,014/27,972 = 27,972/x
  3. Step 3: Cross multiply
    19,014x = 27,972 × 27,972
  4. Step 4: Simplify right side
    19,014x = 782,432,784
  5. Step 5: Solve for x
    x = 782,432,784/19,014
  6. Step 6: Final answer
    x = 41,150.35

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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.