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Finding the Third Proportional to 22,975 and 34,643

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Solution

The third proportional to 22,975 and 34,643 is: 52,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975 : 34,643 = 34,643 : x
  2. Step 2: Convert to fraction form
    22,975/34,643 = 34,643/x
  3. Step 3: Cross multiply
    22,975x = 34,643 × 34,643
  4. Step 4: Simplify right side
    22,975x = 1,200,137,449
  5. Step 5: Solve for x
    x = 1,200,137,449/22,975
  6. Step 6: Final answer
    x = 52,236.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.