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Finding the Third Proportional to 1,172.52 and 2,479.60

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Solution

The third proportional to 1,172.52 and 2,479.60 is: 5,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.52 : 2,479.60 = 2,479.60 : x
  2. Step 2: Convert to fraction form
    1,172.52/2,479.60 = 2,479.60/x
  3. Step 3: Cross multiply
    1,172.52x = 2,479.60 × 2,479.60
  4. Step 4: Simplify right side
    1,172.52x = 6,148,399.69
  5. Step 5: Solve for x
    x = 6,148,399.69/1,172.52
  6. Step 6: Final answer
    x = 5,243.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.