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Finding the Third Proportional to 22,617 and 52,533

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Solution

The third proportional to 22,617 and 52,533 is: 122,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617 : 52,533 = 52,533 : x
  2. Step 2: Convert to fraction form
    22,617/52,533 = 52,533/x
  3. Step 3: Cross multiply
    22,617x = 52,533 × 52,533
  4. Step 4: Simplify right side
    22,617x = 2,759,716,089
  5. Step 5: Solve for x
    x = 2,759,716,089/22,617
  6. Step 6: Final answer
    x = 122,019.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.