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Finding the Third Proportional to 38,559 and 52,530

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Solution

The third proportional to 38,559 and 52,530 is: 71,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,559 : 52,530 = 52,530 : x
  2. Step 2: Convert to fraction form
    38,559/52,530 = 52,530/x
  3. Step 3: Cross multiply
    38,559x = 52,530 × 52,530
  4. Step 4: Simplify right side
    38,559x = 2,759,400,900
  5. Step 5: Solve for x
    x = 2,759,400,900/38,559
  6. Step 6: Final answer
    x = 71,563.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.