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Finding the Third Proportional to 19,768 and 29,814

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Solution

The third proportional to 19,768 and 29,814 is: 44,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768 : 29,814 = 29,814 : x
  2. Step 2: Convert to fraction form
    19,768/29,814 = 29,814/x
  3. Step 3: Cross multiply
    19,768x = 29,814 × 29,814
  4. Step 4: Simplify right side
    19,768x = 888,874,596
  5. Step 5: Solve for x
    x = 888,874,596/19,768
  6. Step 6: Final answer
    x = 44,965.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.