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Finding the Third Proportional to 5,250.75 and 7,808.63

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Solution

The third proportional to 5,250.75 and 7,808.63 is: 11,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.75 : 7,808.63 = 7,808.63 : x
  2. Step 2: Convert to fraction form
    5,250.75/7,808.63 = 7,808.63/x
  3. Step 3: Cross multiply
    5,250.75x = 7,808.63 × 7,808.63
  4. Step 4: Simplify right side
    5,250.75x = 60,974,624.39
  5. Step 5: Solve for x
    x = 60,974,624.39/5,250.75
  6. Step 6: Final answer
    x = 11,612.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.