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Finding the Third Proportional to 22,598 and 32,283

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Solution

The third proportional to 22,598 and 32,283 is: 46,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,598 : 32,283 = 32,283 : x
  2. Step 2: Convert to fraction form
    22,598/32,283 = 32,283/x
  3. Step 3: Cross multiply
    22,598x = 32,283 × 32,283
  4. Step 4: Simplify right side
    22,598x = 1,042,192,089
  5. Step 5: Solve for x
    x = 1,042,192,089/22,598
  6. Step 6: Final answer
    x = 46,118.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.