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Finding the Third Proportional to 23,363 and 33,583

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Solution

The third proportional to 23,363 and 33,583 is: 48,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,363 : 33,583 = 33,583 : x
  2. Step 2: Convert to fraction form
    23,363/33,583 = 33,583/x
  3. Step 3: Cross multiply
    23,363x = 33,583 × 33,583
  4. Step 4: Simplify right side
    23,363x = 1,127,817,889
  5. Step 5: Solve for x
    x = 1,127,817,889/23,363
  6. Step 6: Final answer
    x = 48,273.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.