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Finding the Third Proportional to 5,856.75 and 9,349.31

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Solution

The third proportional to 5,856.75 and 9,349.31 is: 14,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.75 : 9,349.31 = 9,349.31 : x
  2. Step 2: Convert to fraction form
    5,856.75/9,349.31 = 9,349.31/x
  3. Step 3: Cross multiply
    5,856.75x = 9,349.31 × 9,349.31
  4. Step 4: Simplify right side
    5,856.75x = 87,409,644.22
  5. Step 5: Solve for x
    x = 87,409,644.22/5,856.75
  6. Step 6: Final answer
    x = 14,924.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.