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Finding the Third Proportional to 22,523.06 and 34,270.59

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Solution

The third proportional to 22,523.06 and 34,270.59 is: 52,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.06 : 34,270.59 = 34,270.59 : x
  2. Step 2: Convert to fraction form
    22,523.06/34,270.59 = 34,270.59/x
  3. Step 3: Cross multiply
    22,523.06x = 34,270.59 × 34,270.59
  4. Step 4: Simplify right side
    22,523.06x = 1,174,473,595.98
  5. Step 5: Solve for x
    x = 1,174,473,595.98/22,523.06
  6. Step 6: Final answer
    x = 52,145.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.