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Finding the Third Proportional to 5,313.73 and 7,141.92

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Solution

The third proportional to 5,313.73 and 7,141.92 is: 9,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.73 : 7,141.92 = 7,141.92 : x
  2. Step 2: Convert to fraction form
    5,313.73/7,141.92 = 7,141.92/x
  3. Step 3: Cross multiply
    5,313.73x = 7,141.92 × 7,141.92
  4. Step 4: Simplify right side
    5,313.73x = 51,007,048.07
  5. Step 5: Solve for x
    x = 51,007,048.07/5,313.73
  6. Step 6: Final answer
    x = 9,599.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.