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Finding the Third Proportional to 8,942 and 19,669

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Solution

The third proportional to 8,942 and 19,669 is: 43,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942 : 19,669 = 19,669 : x
  2. Step 2: Convert to fraction form
    8,942/19,669 = 19,669/x
  3. Step 3: Cross multiply
    8,942x = 19,669 × 19,669
  4. Step 4: Simplify right side
    8,942x = 386,869,561
  5. Step 5: Solve for x
    x = 386,869,561/8,942
  6. Step 6: Final answer
    x = 43,264.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.