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Finding the Third Proportional to 5,285.63 and 7,911.19

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Solution

The third proportional to 5,285.63 and 7,911.19 is: 11,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.63 : 7,911.19 = 7,911.19 : x
  2. Step 2: Convert to fraction form
    5,285.63/7,911.19 = 7,911.19/x
  3. Step 3: Cross multiply
    5,285.63x = 7,911.19 × 7,911.19
  4. Step 4: Simplify right side
    5,285.63x = 62,586,887.66
  5. Step 5: Solve for x
    x = 62,586,887.66/5,285.63
  6. Step 6: Final answer
    x = 11,840.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.