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Finding the Third Proportional to 38,562 and 52,533

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Solution

The third proportional to 38,562 and 52,533 is: 71,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,562 : 52,533 = 52,533 : x
  2. Step 2: Convert to fraction form
    38,562/52,533 = 52,533/x
  3. Step 3: Cross multiply
    38,562x = 52,533 × 52,533
  4. Step 4: Simplify right side
    38,562x = 2,759,716,089
  5. Step 5: Solve for x
    x = 2,759,716,089/38,562
  6. Step 6: Final answer
    x = 71,565.69

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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.