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Finding the Third Proportional to 22,364 and 35,384

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Solution

The third proportional to 22,364 and 35,384 is: 55,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364 : 35,384 = 35,384 : x
  2. Step 2: Convert to fraction form
    22,364/35,384 = 35,384/x
  3. Step 3: Cross multiply
    22,364x = 35,384 × 35,384
  4. Step 4: Simplify right side
    22,364x = 1,252,027,456
  5. Step 5: Solve for x
    x = 1,252,027,456/22,364
  6. Step 6: Final answer
    x = 55,984.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.