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Finding the Third Proportional to 10,054.13 and 14,790.73

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Solution

The third proportional to 10,054.13 and 14,790.73 is: 21,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.13 : 14,790.73 = 14,790.73 : x
  2. Step 2: Convert to fraction form
    10,054.13/14,790.73 = 14,790.73/x
  3. Step 3: Cross multiply
    10,054.13x = 14,790.73 × 14,790.73
  4. Step 4: Simplify right side
    10,054.13x = 218,765,592.25
  5. Step 5: Solve for x
    x = 218,765,592.25/10,054.13
  6. Step 6: Final answer
    x = 21,758.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.