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Finding the Third Proportional to 12,085.88 and 18,216.56

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Solution

The third proportional to 12,085.88 and 18,216.56 is: 27,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.88 : 18,216.56 = 18,216.56 : x
  2. Step 2: Convert to fraction form
    12,085.88/18,216.56 = 18,216.56/x
  3. Step 3: Cross multiply
    12,085.88x = 18,216.56 × 18,216.56
  4. Step 4: Simplify right side
    12,085.88x = 331,843,149.32
  5. Step 5: Solve for x
    x = 331,843,149.32/12,085.88
  6. Step 6: Final answer
    x = 27,457.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.