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Finding the Third Proportional to 6,362.16 and 9,353.25

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Solution

The third proportional to 6,362.16 and 9,353.25 is: 13,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.16 : 9,353.25 = 9,353.25 : x
  2. Step 2: Convert to fraction form
    6,362.16/9,353.25 = 9,353.25/x
  3. Step 3: Cross multiply
    6,362.16x = 9,353.25 × 9,353.25
  4. Step 4: Simplify right side
    6,362.16x = 87,483,285.56
  5. Step 5: Solve for x
    x = 87,483,285.56/6,362.16
  6. Step 6: Final answer
    x = 13,750.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.