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Finding the Third Proportional to 19,524 and 25,953

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Solution

The third proportional to 19,524 and 25,953 is: 34,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524 : 25,953 = 25,953 : x
  2. Step 2: Convert to fraction form
    19,524/25,953 = 25,953/x
  3. Step 3: Cross multiply
    19,524x = 25,953 × 25,953
  4. Step 4: Simplify right side
    19,524x = 673,558,209
  5. Step 5: Solve for x
    x = 673,558,209/19,524
  6. Step 6: Final answer
    x = 34,498.99

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.