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Finding the Third Proportional to 19,528 and 30,204

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Solution

The third proportional to 19,528 and 30,204 is: 46,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,528 : 30,204 = 30,204 : x
  2. Step 2: Convert to fraction form
    19,528/30,204 = 30,204/x
  3. Step 3: Cross multiply
    19,528x = 30,204 × 30,204
  4. Step 4: Simplify right side
    19,528x = 912,281,616
  5. Step 5: Solve for x
    x = 912,281,616/19,528
  6. Step 6: Final answer
    x = 46,716.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.