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Finding the Third Proportional to 3,451 and 7,448.50

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Solution

The third proportional to 3,451 and 7,448.50 is: 16,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451 : 7,448.50 = 7,448.50 : x
  2. Step 2: Convert to fraction form
    3,451/7,448.50 = 7,448.50/x
  3. Step 3: Cross multiply
    3,451x = 7,448.50 × 7,448.50
  4. Step 4: Simplify right side
    3,451x = 55,480,152.25
  5. Step 5: Solve for x
    x = 55,480,152.25/3,451
  6. Step 6: Final answer
    x = 16,076.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.