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Finding the Third Proportional to 4,715.63 and 9,947.63

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Solution

The third proportional to 4,715.63 and 9,947.63 is: 20,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.63 : 9,947.63 = 9,947.63 : x
  2. Step 2: Convert to fraction form
    4,715.63/9,947.63 = 9,947.63/x
  3. Step 3: Cross multiply
    4,715.63x = 9,947.63 × 9,947.63
  4. Step 4: Simplify right side
    4,715.63x = 98,955,243.14
  5. Step 5: Solve for x
    x = 98,955,243.14/4,715.63
  6. Step 6: Final answer
    x = 20,984.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.