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Finding the Third Proportional to 12,992.63 and 27,762.19

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Solution

The third proportional to 12,992.63 and 27,762.19 is: 59,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.63 : 27,762.19 = 27,762.19 : x
  2. Step 2: Convert to fraction form
    12,992.63/27,762.19 = 27,762.19/x
  3. Step 3: Cross multiply
    12,992.63x = 27,762.19 × 27,762.19
  4. Step 4: Simplify right side
    12,992.63x = 770,739,054.79
  5. Step 5: Solve for x
    x = 770,739,054.79/12,992.63
  6. Step 6: Final answer
    x = 59,321.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.