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Finding the Third Proportional to 2,230.35 and 4,858.00

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Solution

The third proportional to 2,230.35 and 4,858.00 is: 10,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.35 : 4,858.00 = 4,858.00 : x
  2. Step 2: Convert to fraction form
    2,230.35/4,858.00 = 4,858.00/x
  3. Step 3: Cross multiply
    2,230.35x = 4,858.00 × 4,858.00
  4. Step 4: Simplify right side
    2,230.35x = 23,600,126.05
  5. Step 5: Solve for x
    x = 23,600,126.05/2,230.35
  6. Step 6: Final answer
    x = 10,581.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.