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Finding the Third Proportional to 19,634 and 29,860

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Solution

The third proportional to 19,634 and 29,860 is: 45,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634 : 29,860 = 29,860 : x
  2. Step 2: Convert to fraction form
    19,634/29,860 = 29,860/x
  3. Step 3: Cross multiply
    19,634x = 29,860 × 29,860
  4. Step 4: Simplify right side
    19,634x = 891,619,600
  5. Step 5: Solve for x
    x = 891,619,600/19,634
  6. Step 6: Final answer
    x = 45,412.02

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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.