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Finding the Third Proportional to 10,999.69 and 14,945.06

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Solution

The third proportional to 10,999.69 and 14,945.06 is: 20,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.69 : 14,945.06 = 14,945.06 : x
  2. Step 2: Convert to fraction form
    10,999.69/14,945.06 = 14,945.06/x
  3. Step 3: Cross multiply
    10,999.69x = 14,945.06 × 14,945.06
  4. Step 4: Simplify right side
    10,999.69x = 223,354,893.13
  5. Step 5: Solve for x
    x = 223,354,893.13/10,999.69
  6. Step 6: Final answer
    x = 20,305.57

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.