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Finding the Third Proportional to 5,254.50 and 7,887.94

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Solution

The third proportional to 5,254.50 and 7,887.94 is: 11,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.50 : 7,887.94 = 7,887.94 : x
  2. Step 2: Convert to fraction form
    5,254.50/7,887.94 = 7,887.94/x
  3. Step 3: Cross multiply
    5,254.50x = 7,887.94 × 7,887.94
  4. Step 4: Simplify right side
    5,254.50x = 62,219,558.00
  5. Step 5: Solve for x
    x = 62,219,558.00/5,254.50
  6. Step 6: Final answer
    x = 11,841.19

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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.