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Finding the Third Proportional to 5,800.50 and 7,647.75

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Solution

The third proportional to 5,800.50 and 7,647.75 is: 10,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.50 : 7,647.75 = 7,647.75 : x
  2. Step 2: Convert to fraction form
    5,800.50/7,647.75 = 7,647.75/x
  3. Step 3: Cross multiply
    5,800.50x = 7,647.75 × 7,647.75
  4. Step 4: Simplify right side
    5,800.50x = 58,488,080.06
  5. Step 5: Solve for x
    x = 58,488,080.06/5,800.50
  6. Step 6: Final answer
    x = 10,083.28

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.