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Finding the Third Proportional to 19,654 and 30,203

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Solution

The third proportional to 19,654 and 30,203 is: 46,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654 : 30,203 = 30,203 : x
  2. Step 2: Convert to fraction form
    19,654/30,203 = 30,203/x
  3. Step 3: Cross multiply
    19,654x = 30,203 × 30,203
  4. Step 4: Simplify right side
    19,654x = 912,221,209
  5. Step 5: Solve for x
    x = 912,221,209/19,654
  6. Step 6: Final answer
    x = 46,414.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.