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Finding the Third Proportional to 5,896.13 and 9,050.06

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Solution

The third proportional to 5,896.13 and 9,050.06 is: 13,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.13 : 9,050.06 = 9,050.06 : x
  2. Step 2: Convert to fraction form
    5,896.13/9,050.06 = 9,050.06/x
  3. Step 3: Cross multiply
    5,896.13x = 9,050.06 × 9,050.06
  4. Step 4: Simplify right side
    5,896.13x = 81,903,631.25
  5. Step 5: Solve for x
    x = 81,903,631.25/5,896.13
  6. Step 6: Final answer
    x = 13,891.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.