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Finding the Third Proportional to 7,817.63 and 10,769.63

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Solution

The third proportional to 7,817.63 and 10,769.63 is: 14,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.63 : 10,769.63 = 10,769.63 : x
  2. Step 2: Convert to fraction form
    7,817.63/10,769.63 = 10,769.63/x
  3. Step 3: Cross multiply
    7,817.63x = 10,769.63 × 10,769.63
  4. Step 4: Simplify right side
    7,817.63x = 115,984,822.64
  5. Step 5: Solve for x
    x = 115,984,822.64/7,817.63
  6. Step 6: Final answer
    x = 14,836.32

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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.