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Finding the Third Proportional to 2,319.25 and 4,830.25

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Solution

The third proportional to 2,319.25 and 4,830.25 is: 10,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.25 : 4,830.25 = 4,830.25 : x
  2. Step 2: Convert to fraction form
    2,319.25/4,830.25 = 4,830.25/x
  3. Step 3: Cross multiply
    2,319.25x = 4,830.25 × 4,830.25
  4. Step 4: Simplify right side
    2,319.25x = 23,331,315.06
  5. Step 5: Solve for x
    x = 23,331,315.06/2,319.25
  6. Step 6: Final answer
    x = 10,059.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.