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Finding the Third Proportional to 11,641.50 and 18,447

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Solution

The third proportional to 11,641.50 and 18,447 is: 29,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.50 : 18,447 = 18,447 : x
  2. Step 2: Convert to fraction form
    11,641.50/18,447 = 18,447/x
  3. Step 3: Cross multiply
    11,641.50x = 18,447 × 18,447
  4. Step 4: Simplify right side
    11,641.50x = 340,291,809
  5. Step 5: Solve for x
    x = 340,291,809/11,641.50
  6. Step 6: Final answer
    x = 29,230.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.