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Finding the Third Proportional to 11,085.19 and 14,966.44

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Solution

The third proportional to 11,085.19 and 14,966.44 is: 20,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085.19 : 14,966.44 = 14,966.44 : x
  2. Step 2: Convert to fraction form
    11,085.19/14,966.44 = 14,966.44/x
  3. Step 3: Cross multiply
    11,085.19x = 14,966.44 × 14,966.44
  4. Step 4: Simplify right side
    11,085.19x = 223,994,251.44
  5. Step 5: Solve for x
    x = 223,994,251.44/11,085.19
  6. Step 6: Final answer
    x = 20,206.63

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.