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Finding the Third Proportional to 19,960 and 29,062

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Solution

The third proportional to 19,960 and 29,062 is: 42,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,960 : 29,062 = 29,062 : x
  2. Step 2: Convert to fraction form
    19,960/29,062 = 29,062/x
  3. Step 3: Cross multiply
    19,960x = 29,062 × 29,062
  4. Step 4: Simplify right side
    19,960x = 844,599,844
  5. Step 5: Solve for x
    x = 844,599,844/19,960
  6. Step 6: Final answer
    x = 42,314.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.