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Finding the Third Proportional to 6,287.63 and 12,973.92

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Solution

The third proportional to 6,287.63 and 12,973.92 is: 26,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.63 : 12,973.92 = 12,973.92 : x
  2. Step 2: Convert to fraction form
    6,287.63/12,973.92 = 12,973.92/x
  3. Step 3: Cross multiply
    6,287.63x = 12,973.92 × 12,973.92
  4. Step 4: Simplify right side
    6,287.63x = 168,322,648.82
  5. Step 5: Solve for x
    x = 168,322,648.82/6,287.63
  6. Step 6: Final answer
    x = 26,770.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.