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Finding the Third Proportional to 8,971 and 19,669

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Solution

The third proportional to 8,971 and 19,669 is: 43,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971 : 19,669 = 19,669 : x
  2. Step 2: Convert to fraction form
    8,971/19,669 = 19,669/x
  3. Step 3: Cross multiply
    8,971x = 19,669 × 19,669
  4. Step 4: Simplify right side
    8,971x = 386,869,561
  5. Step 5: Solve for x
    x = 386,869,561/8,971
  6. Step 6: Final answer
    x = 43,124.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.