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Finding the Third Proportional to 30,021 and 47,092

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Solution

The third proportional to 30,021 and 47,092 is: 73,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,021 : 47,092 = 47,092 : x
  2. Step 2: Convert to fraction form
    30,021/47,092 = 47,092/x
  3. Step 3: Cross multiply
    30,021x = 47,092 × 47,092
  4. Step 4: Simplify right side
    30,021x = 2,217,656,464
  5. Step 5: Solve for x
    x = 2,217,656,464/30,021
  6. Step 6: Final answer
    x = 73,870.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.