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Finding the Third Proportional to 2,285.24 and 4,109.17

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Solution

The third proportional to 2,285.24 and 4,109.17 is: 7,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.24 : 4,109.17 = 4,109.17 : x
  2. Step 2: Convert to fraction form
    2,285.24/4,109.17 = 4,109.17/x
  3. Step 3: Cross multiply
    2,285.24x = 4,109.17 × 4,109.17
  4. Step 4: Simplify right side
    2,285.24x = 16,885,261.40
  5. Step 5: Solve for x
    x = 16,885,261.40/2,285.24
  6. Step 6: Final answer
    x = 7,388.82

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.