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Finding the Third Proportional to 5,757.75 and 9,158.06

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Solution

The third proportional to 5,757.75 and 9,158.06 is: 14,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.75 : 9,158.06 = 9,158.06 : x
  2. Step 2: Convert to fraction form
    5,757.75/9,158.06 = 9,158.06/x
  3. Step 3: Cross multiply
    5,757.75x = 9,158.06 × 9,158.06
  4. Step 4: Simplify right side
    5,757.75x = 83,870,108.75
  5. Step 5: Solve for x
    x = 83,870,108.75/5,757.75
  6. Step 6: Final answer
    x = 14,566.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.