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Finding the Third Proportional to 22,309 and 33,389

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Solution

The third proportional to 22,309 and 33,389 is: 49,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309 : 33,389 = 33,389 : x
  2. Step 2: Convert to fraction form
    22,309/33,389 = 33,389/x
  3. Step 3: Cross multiply
    22,309x = 33,389 × 33,389
  4. Step 4: Simplify right side
    22,309x = 1,114,825,321
  5. Step 5: Solve for x
    x = 1,114,825,321/22,309
  6. Step 6: Final answer
    x = 49,972.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.