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Finding the Third Proportional to 6,773.63 and 7,890.75

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Solution

The third proportional to 6,773.63 and 7,890.75 is: 9,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.63 : 7,890.75 = 7,890.75 : x
  2. Step 2: Convert to fraction form
    6,773.63/7,890.75 = 7,890.75/x
  3. Step 3: Cross multiply
    6,773.63x = 7,890.75 × 7,890.75
  4. Step 4: Simplify right side
    6,773.63x = 62,263,935.56
  5. Step 5: Solve for x
    x = 62,263,935.56/6,773.63
  6. Step 6: Final answer
    x = 9,192.11

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.