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Finding the Third Proportional to 19,694 and 29,946

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Solution

The third proportional to 19,694 and 29,946 is: 45,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694 : 29,946 = 29,946 : x
  2. Step 2: Convert to fraction form
    19,694/29,946 = 29,946/x
  3. Step 3: Cross multiply
    19,694x = 29,946 × 29,946
  4. Step 4: Simplify right side
    19,694x = 896,762,916
  5. Step 5: Solve for x
    x = 896,762,916/19,694
  6. Step 6: Final answer
    x = 45,534.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.