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Finding the Third Proportional to 1,295.16 and 2,797.24

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Solution

The third proportional to 1,295.16 and 2,797.24 is: 6,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.16 : 2,797.24 = 2,797.24 : x
  2. Step 2: Convert to fraction form
    1,295.16/2,797.24 = 2,797.24/x
  3. Step 3: Cross multiply
    1,295.16x = 2,797.24 × 2,797.24
  4. Step 4: Simplify right side
    1,295.16x = 7,824,563.86
  5. Step 5: Solve for x
    x = 7,824,563.86/1,295.16
  6. Step 6: Final answer
    x = 6,041.41

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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.