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Finding the Third Proportional to 19,665 and 30,231

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Solution

The third proportional to 19,665 and 30,231 is: 46,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665 : 30,231 = 30,231 : x
  2. Step 2: Convert to fraction form
    19,665/30,231 = 30,231/x
  3. Step 3: Cross multiply
    19,665x = 30,231 × 30,231
  4. Step 4: Simplify right side
    19,665x = 913,913,361
  5. Step 5: Solve for x
    x = 913,913,361/19,665
  6. Step 6: Final answer
    x = 46,474.11

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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.