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Finding the Third Proportional to 3,022.50 and 4,808.50

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Solution

The third proportional to 3,022.50 and 4,808.50 is: 7,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.50 : 4,808.50 = 4,808.50 : x
  2. Step 2: Convert to fraction form
    3,022.50/4,808.50 = 4,808.50/x
  3. Step 3: Cross multiply
    3,022.50x = 4,808.50 × 4,808.50
  4. Step 4: Simplify right side
    3,022.50x = 23,121,672.25
  5. Step 5: Solve for x
    x = 23,121,672.25/3,022.50
  6. Step 6: Final answer
    x = 7,649.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.