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Finding the Third Proportional to 22,533 and 34,827

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Solution

The third proportional to 22,533 and 34,827 is: 53,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533 : 34,827 = 34,827 : x
  2. Step 2: Convert to fraction form
    22,533/34,827 = 34,827/x
  3. Step 3: Cross multiply
    22,533x = 34,827 × 34,827
  4. Step 4: Simplify right side
    22,533x = 1,212,919,929
  5. Step 5: Solve for x
    x = 1,212,919,929/22,533
  6. Step 6: Final answer
    x = 53,828.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.