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Finding the Third Proportional to 4,754.16 and 7,112.02

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Solution

The third proportional to 4,754.16 and 7,112.02 is: 10,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.16 : 7,112.02 = 7,112.02 : x
  2. Step 2: Convert to fraction form
    4,754.16/7,112.02 = 7,112.02/x
  3. Step 3: Cross multiply
    4,754.16x = 7,112.02 × 7,112.02
  4. Step 4: Simplify right side
    4,754.16x = 50,580,849.59
  5. Step 5: Solve for x
    x = 50,580,849.59/4,754.16
  6. Step 6: Final answer
    x = 10,639.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.