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Finding the Third Proportional to 12,085.88 and 18,073.13

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Solution

The third proportional to 12,085.88 and 18,073.13 is: 27,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.88 : 18,073.13 = 18,073.13 : x
  2. Step 2: Convert to fraction form
    12,085.88/18,073.13 = 18,073.13/x
  3. Step 3: Cross multiply
    12,085.88x = 18,073.13 × 18,073.13
  4. Step 4: Simplify right side
    12,085.88x = 326,637,847.27
  5. Step 5: Solve for x
    x = 326,637,847.27/12,085.88
  6. Step 6: Final answer
    x = 27,026.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.