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Finding the Third Proportional to 19,670 and 29,817

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Solution

The third proportional to 19,670 and 29,817 is: 45,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670 : 29,817 = 29,817 : x
  2. Step 2: Convert to fraction form
    19,670/29,817 = 29,817/x
  3. Step 3: Cross multiply
    19,670x = 29,817 × 29,817
  4. Step 4: Simplify right side
    19,670x = 889,053,489
  5. Step 5: Solve for x
    x = 889,053,489/19,670
  6. Step 6: Final answer
    x = 45,198.45

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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.