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Finding the Third Proportional to 1,292.63 and 2,878.31

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Solution

The third proportional to 1,292.63 and 2,878.31 is: 6,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.63 : 2,878.31 = 2,878.31 : x
  2. Step 2: Convert to fraction form
    1,292.63/2,878.31 = 2,878.31/x
  3. Step 3: Cross multiply
    1,292.63x = 2,878.31 × 2,878.31
  4. Step 4: Simplify right side
    1,292.63x = 8,284,682.85
  5. Step 5: Solve for x
    x = 8,284,682.85/1,292.63
  6. Step 6: Final answer
    x = 6,409.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.