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Finding the Third Proportional to 19,519 and 29,062

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Solution

The third proportional to 19,519 and 29,062 is: 43,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,519 : 29,062 = 29,062 : x
  2. Step 2: Convert to fraction form
    19,519/29,062 = 29,062/x
  3. Step 3: Cross multiply
    19,519x = 29,062 × 29,062
  4. Step 4: Simplify right side
    19,519x = 844,599,844
  5. Step 5: Solve for x
    x = 844,599,844/19,519
  6. Step 6: Final answer
    x = 43,270.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.