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Finding the Third Proportional to 10,267.13 and 14,922.19

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Solution

The third proportional to 10,267.13 and 14,922.19 is: 21,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.13 : 14,922.19 = 14,922.19 : x
  2. Step 2: Convert to fraction form
    10,267.13/14,922.19 = 14,922.19/x
  3. Step 3: Cross multiply
    10,267.13x = 14,922.19 × 14,922.19
  4. Step 4: Simplify right side
    10,267.13x = 222,671,679.79
  5. Step 5: Solve for x
    x = 222,671,679.79/10,267.13
  6. Step 6: Final answer
    x = 21,687.83

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.