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Finding the Third Proportional to 7,572 and 11,112.75

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Solution

The third proportional to 7,572 and 11,112.75 is: 16,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572 : 11,112.75 = 11,112.75 : x
  2. Step 2: Convert to fraction form
    7,572/11,112.75 = 11,112.75/x
  3. Step 3: Cross multiply
    7,572x = 11,112.75 × 11,112.75
  4. Step 4: Simplify right side
    7,572x = 123,493,212.56
  5. Step 5: Solve for x
    x = 123,493,212.56/7,572
  6. Step 6: Final answer
    x = 16,309.19

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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.