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Finding the Third Proportional to 1,257.19 and 2,762.16

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Solution

The third proportional to 1,257.19 and 2,762.16 is: 6,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.19 : 2,762.16 = 2,762.16 : x
  2. Step 2: Convert to fraction form
    1,257.19/2,762.16 = 2,762.16/x
  3. Step 3: Cross multiply
    1,257.19x = 2,762.16 × 2,762.16
  4. Step 4: Simplify right side
    1,257.19x = 7,629,507.15
  5. Step 5: Solve for x
    x = 7,629,507.15/1,257.19
  6. Step 6: Final answer
    x = 6,068.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.