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Finding the Third Proportional to 23,368 and 33,384

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Solution

The third proportional to 23,368 and 33,384 is: 47,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,368 : 33,384 = 33,384 : x
  2. Step 2: Convert to fraction form
    23,368/33,384 = 33,384/x
  3. Step 3: Cross multiply
    23,368x = 33,384 × 33,384
  4. Step 4: Simplify right side
    23,368x = 1,114,491,456
  5. Step 5: Solve for x
    x = 1,114,491,456/23,368
  6. Step 6: Final answer
    x = 47,693.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.