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Finding the Third Proportional to 2,458.95 and 3,910.54

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Solution

The third proportional to 2,458.95 and 3,910.54 is: 6,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.95 : 3,910.54 = 3,910.54 : x
  2. Step 2: Convert to fraction form
    2,458.95/3,910.54 = 3,910.54/x
  3. Step 3: Cross multiply
    2,458.95x = 3,910.54 × 3,910.54
  4. Step 4: Simplify right side
    2,458.95x = 15,292,353.95
  5. Step 5: Solve for x
    x = 15,292,353.95/2,458.95
  6. Step 6: Final answer
    x = 6,219.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.