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Finding the Third Proportional to 19,102 and 41,970

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Solution

The third proportional to 19,102 and 41,970 is: 92,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102 : 41,970 = 41,970 : x
  2. Step 2: Convert to fraction form
    19,102/41,970 = 41,970/x
  3. Step 3: Cross multiply
    19,102x = 41,970 × 41,970
  4. Step 4: Simplify right side
    19,102x = 1,761,480,900
  5. Step 5: Solve for x
    x = 1,761,480,900/19,102
  6. Step 6: Final answer
    x = 92,214.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.