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Finding the Third Proportional to 22,273 and 32,678

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Solution

The third proportional to 22,273 and 32,678 is: 47,943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,273 : 32,678 = 32,678 : x
  2. Step 2: Convert to fraction form
    22,273/32,678 = 32,678/x
  3. Step 3: Cross multiply
    22,273x = 32,678 × 32,678
  4. Step 4: Simplify right side
    22,273x = 1,067,851,684
  5. Step 5: Solve for x
    x = 1,067,851,684/22,273
  6. Step 6: Final answer
    x = 47,943.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.