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Finding the Third Proportional to 19,658 and 29,799

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Solution

The third proportional to 19,658 and 29,799 is: 45,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658 : 29,799 = 29,799 : x
  2. Step 2: Convert to fraction form
    19,658/29,799 = 29,799/x
  3. Step 3: Cross multiply
    19,658x = 29,799 × 29,799
  4. Step 4: Simplify right side
    19,658x = 887,980,401
  5. Step 5: Solve for x
    x = 887,980,401/19,658
  6. Step 6: Final answer
    x = 45,171.45

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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.