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Finding the Third Proportional to 12,181.50 and 22,581

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Solution

The third proportional to 12,181.50 and 22,581 is: 41,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.50 : 22,581 = 22,581 : x
  2. Step 2: Convert to fraction form
    12,181.50/22,581 = 22,581/x
  3. Step 3: Cross multiply
    12,181.50x = 22,581 × 22,581
  4. Step 4: Simplify right side
    12,181.50x = 509,901,561
  5. Step 5: Solve for x
    x = 509,901,561/12,181.50
  6. Step 6: Final answer
    x = 41,858.68

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.