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Finding the Third Proportional to 19,466 and 30,107

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Solution

The third proportional to 19,466 and 30,107 is: 46,564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,466 : 30,107 = 30,107 : x
  2. Step 2: Convert to fraction form
    19,466/30,107 = 30,107/x
  3. Step 3: Cross multiply
    19,466x = 30,107 × 30,107
  4. Step 4: Simplify right side
    19,466x = 906,431,449
  5. Step 5: Solve for x
    x = 906,431,449/19,466
  6. Step 6: Final answer
    x = 46,564.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.