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Finding the Third Proportional to 12,935.25 and 27,851.63

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Solution

The third proportional to 12,935.25 and 27,851.63 is: 59,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,935.25 : 27,851.63 = 27,851.63 : x
  2. Step 2: Convert to fraction form
    12,935.25/27,851.63 = 27,851.63/x
  3. Step 3: Cross multiply
    12,935.25x = 27,851.63 × 27,851.63
  4. Step 4: Simplify right side
    12,935.25x = 775,713,015.14
  5. Step 5: Solve for x
    x = 775,713,015.14/12,935.25
  6. Step 6: Final answer
    x = 59,968.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.