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Finding the Third Proportional to 22,307 and 33,463.50

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Solution

The third proportional to 22,307 and 33,463.50 is: 50,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307 : 33,463.50 = 33,463.50 : x
  2. Step 2: Convert to fraction form
    22,307/33,463.50 = 33,463.50/x
  3. Step 3: Cross multiply
    22,307x = 33,463.50 × 33,463.50
  4. Step 4: Simplify right side
    22,307x = 1,119,805,832.25
  5. Step 5: Solve for x
    x = 1,119,805,832.25/22,307
  6. Step 6: Final answer
    x = 50,199.75

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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.