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Finding the Third Proportional to 12,693.38 and 27,848.25

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Solution

The third proportional to 12,693.38 and 27,848.25 is: 61,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.38 : 27,848.25 = 27,848.25 : x
  2. Step 2: Convert to fraction form
    12,693.38/27,848.25 = 27,848.25/x
  3. Step 3: Cross multiply
    12,693.38x = 27,848.25 × 27,848.25
  4. Step 4: Simplify right side
    12,693.38x = 775,525,028.06
  5. Step 5: Solve for x
    x = 775,525,028.06/12,693.38
  6. Step 6: Final answer
    x = 61,096.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.