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Finding the Third Proportional to 1,464 and 3,455.75

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Solution

The third proportional to 1,464 and 3,455.75 is: 8,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464 : 3,455.75 = 3,455.75 : x
  2. Step 2: Convert to fraction form
    1,464/3,455.75 = 3,455.75/x
  3. Step 3: Cross multiply
    1,464x = 3,455.75 × 3,455.75
  4. Step 4: Simplify right side
    1,464x = 11,942,208.06
  5. Step 5: Solve for x
    x = 11,942,208.06/1,464
  6. Step 6: Final answer
    x = 8,157.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.