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Finding the Third Proportional to 2,458.69 and 5,157.84

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Solution

The third proportional to 2,458.69 and 5,157.84 is: 10,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.69 : 5,157.84 = 5,157.84 : x
  2. Step 2: Convert to fraction form
    2,458.69/5,157.84 = 5,157.84/x
  3. Step 3: Cross multiply
    2,458.69x = 5,157.84 × 5,157.84
  4. Step 4: Simplify right side
    2,458.69x = 26,603,352.15
  5. Step 5: Solve for x
    x = 26,603,352.15/2,458.69
  6. Step 6: Final answer
    x = 10,820.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.