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Finding the Third Proportional to 22,783.50 and 34,175

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Solution

The third proportional to 22,783.50 and 34,175 is: 51,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.50 : 34,175 = 34,175 : x
  2. Step 2: Convert to fraction form
    22,783.50/34,175 = 34,175/x
  3. Step 3: Cross multiply
    22,783.50x = 34,175 × 34,175
  4. Step 4: Simplify right side
    22,783.50x = 1,167,930,625
  5. Step 5: Solve for x
    x = 1,167,930,625/22,783.50
  6. Step 6: Final answer
    x = 51,262.13

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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.