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Finding the Third Proportional to 5,153.63 and 7,755.75

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Solution

The third proportional to 5,153.63 and 7,755.75 is: 11,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.63 : 7,755.75 = 7,755.75 : x
  2. Step 2: Convert to fraction form
    5,153.63/7,755.75 = 7,755.75/x
  3. Step 3: Cross multiply
    5,153.63x = 7,755.75 × 7,755.75
  4. Step 4: Simplify right side
    5,153.63x = 60,151,658.06
  5. Step 5: Solve for x
    x = 60,151,658.06/5,153.63
  6. Step 6: Final answer
    x = 11,671.72

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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.