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Finding the Third Proportional to 2,230.13 and 4,795.50

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Solution

The third proportional to 2,230.13 and 4,795.50 is: 10,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.13 : 4,795.50 = 4,795.50 : x
  2. Step 2: Convert to fraction form
    2,230.13/4,795.50 = 4,795.50/x
  3. Step 3: Cross multiply
    2,230.13x = 4,795.50 × 4,795.50
  4. Step 4: Simplify right side
    2,230.13x = 22,996,820.25
  5. Step 5: Solve for x
    x = 22,996,820.25/2,230.13
  6. Step 6: Final answer
    x = 10,311.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.