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Finding the Third Proportional to 19,514 and 30,202

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Solution

The third proportional to 19,514 and 30,202 is: 46,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514 : 30,202 = 30,202 : x
  2. Step 2: Convert to fraction form
    19,514/30,202 = 30,202/x
  3. Step 3: Cross multiply
    19,514x = 30,202 × 30,202
  4. Step 4: Simplify right side
    19,514x = 912,160,804
  5. Step 5: Solve for x
    x = 912,160,804/19,514
  6. Step 6: Final answer
    x = 46,743.92

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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.