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Finding the Third Proportional to 11,002 and 18,061.50

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Solution

The third proportional to 11,002 and 18,061.50 is: 29,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002 : 18,061.50 = 18,061.50 : x
  2. Step 2: Convert to fraction form
    11,002/18,061.50 = 18,061.50/x
  3. Step 3: Cross multiply
    11,002x = 18,061.50 × 18,061.50
  4. Step 4: Simplify right side
    11,002x = 326,217,782.25
  5. Step 5: Solve for x
    x = 326,217,782.25/11,002
  6. Step 6: Final answer
    x = 29,650.77

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.