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Finding the Third Proportional to 19,524 and 23,364

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Solution

The third proportional to 19,524 and 23,364 is: 27,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524 : 23,364 = 23,364 : x
  2. Step 2: Convert to fraction form
    19,524/23,364 = 23,364/x
  3. Step 3: Cross multiply
    19,524x = 23,364 × 23,364
  4. Step 4: Simplify right side
    19,524x = 545,876,496
  5. Step 5: Solve for x
    x = 545,876,496/19,524
  6. Step 6: Final answer
    x = 27,959.26

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.