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Finding the Third Proportional to 2,475 and 5,495.63

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Solution

The third proportional to 2,475 and 5,495.63 is: 12,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475 : 5,495.63 = 5,495.63 : x
  2. Step 2: Convert to fraction form
    2,475/5,495.63 = 5,495.63/x
  3. Step 3: Cross multiply
    2,475x = 5,495.63 × 5,495.63
  4. Step 4: Simplify right side
    2,475x = 30,201,894.14
  5. Step 5: Solve for x
    x = 30,201,894.14/2,475
  6. Step 6: Final answer
    x = 12,202.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.