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Finding the Third Proportional to 2,845.76 and 5,230.20

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Solution

The third proportional to 2,845.76 and 5,230.20 is: 9,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.76 : 5,230.20 = 5,230.20 : x
  2. Step 2: Convert to fraction form
    2,845.76/5,230.20 = 5,230.20/x
  3. Step 3: Cross multiply
    2,845.76x = 5,230.20 × 5,230.20
  4. Step 4: Simplify right side
    2,845.76x = 27,354,943.01
  5. Step 5: Solve for x
    x = 27,354,943.01/2,845.76
  6. Step 6: Final answer
    x = 9,612.53

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.