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Finding the Third Proportional to 12,980.25 and 28,238.63

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Solution

The third proportional to 12,980.25 and 28,238.63 is: 61,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.25 : 28,238.63 = 28,238.63 : x
  2. Step 2: Convert to fraction form
    12,980.25/28,238.63 = 28,238.63/x
  3. Step 3: Cross multiply
    12,980.25x = 28,238.63 × 28,238.63
  4. Step 4: Simplify right side
    12,980.25x = 797,419,941.89
  5. Step 5: Solve for x
    x = 797,419,941.89/12,980.25
  6. Step 6: Final answer
    x = 61,433.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.