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Finding the Third Proportional to 23,374 and 33,598

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Solution

The third proportional to 23,374 and 33,598 is: 48,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,374 : 33,598 = 33,598 : x
  2. Step 2: Convert to fraction form
    23,374/33,598 = 33,598/x
  3. Step 3: Cross multiply
    23,374x = 33,598 × 33,598
  4. Step 4: Simplify right side
    23,374x = 1,128,825,604
  5. Step 5: Solve for x
    x = 1,128,825,604/23,374
  6. Step 6: Final answer
    x = 48,294.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.