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Finding the Third Proportional to 2,425.78 and 3,415.08

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Solution

The third proportional to 2,425.78 and 3,415.08 is: 4,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.78 : 3,415.08 = 3,415.08 : x
  2. Step 2: Convert to fraction form
    2,425.78/3,415.08 = 3,415.08/x
  3. Step 3: Cross multiply
    2,425.78x = 3,415.08 × 3,415.08
  4. Step 4: Simplify right side
    2,425.78x = 11,662,758.60
  5. Step 5: Solve for x
    x = 11,662,758.60/2,425.78
  6. Step 6: Final answer
    x = 4,807.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.