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Finding the Third Proportional to 2,485.69 and 3,512.53

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Solution

The third proportional to 2,485.69 and 3,512.53 is: 4,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.69 : 3,512.53 = 3,512.53 : x
  2. Step 2: Convert to fraction form
    2,485.69/3,512.53 = 3,512.53/x
  3. Step 3: Cross multiply
    2,485.69x = 3,512.53 × 3,512.53
  4. Step 4: Simplify right side
    2,485.69x = 12,337,875.78
  5. Step 5: Solve for x
    x = 12,337,875.78/2,485.69
  6. Step 6: Final answer
    x = 4,963.57

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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.