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Finding the Third Proportional to 22,507.88 and 34,293.38

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Solution

The third proportional to 22,507.88 and 34,293.38 is: 52,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.88 : 34,293.38 = 34,293.38 : x
  2. Step 2: Convert to fraction form
    22,507.88/34,293.38 = 34,293.38/x
  3. Step 3: Cross multiply
    22,507.88x = 34,293.38 × 34,293.38
  4. Step 4: Simplify right side
    22,507.88x = 1,176,035,568.89
  5. Step 5: Solve for x
    x = 1,176,035,568.89/22,507.88
  6. Step 6: Final answer
    x = 52,249.96

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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.