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Finding the Third Proportional to 5,896.69 and 9,203.63

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Solution

The third proportional to 5,896.69 and 9,203.63 is: 14,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.69 : 9,203.63 = 9,203.63 : x
  2. Step 2: Convert to fraction form
    5,896.69/9,203.63 = 9,203.63/x
  3. Step 3: Cross multiply
    5,896.69x = 9,203.63 × 9,203.63
  4. Step 4: Simplify right side
    5,896.69x = 84,706,713.14
  5. Step 5: Solve for x
    x = 84,706,713.14/5,896.69
  6. Step 6: Final answer
    x = 14,365.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.