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Finding the Third Proportional to 19,042 and 30,499

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Solution

The third proportional to 19,042 and 30,499 is: 48,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,042 : 30,499 = 30,499 : x
  2. Step 2: Convert to fraction form
    19,042/30,499 = 30,499/x
  3. Step 3: Cross multiply
    19,042x = 30,499 × 30,499
  4. Step 4: Simplify right side
    19,042x = 930,189,001
  5. Step 5: Solve for x
    x = 930,189,001/19,042
  6. Step 6: Final answer
    x = 48,849.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.