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Finding the Third Proportional to 10,212.33 and 14,062.99

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Solution

The third proportional to 10,212.33 and 14,062.99 is: 19,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.33 : 14,062.99 = 14,062.99 : x
  2. Step 2: Convert to fraction form
    10,212.33/14,062.99 = 14,062.99/x
  3. Step 3: Cross multiply
    10,212.33x = 14,062.99 × 14,062.99
  4. Step 4: Simplify right side
    10,212.33x = 197,767,749.27
  5. Step 5: Solve for x
    x = 197,767,749.27/10,212.33
  6. Step 6: Final answer
    x = 19,365.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.