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Finding the Third Proportional to 11,856.75 and 25,394.63

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Solution

The third proportional to 11,856.75 and 25,394.63 is: 54,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.75 : 25,394.63 = 25,394.63 : x
  2. Step 2: Convert to fraction form
    11,856.75/25,394.63 = 25,394.63/x
  3. Step 3: Cross multiply
    11,856.75x = 25,394.63 × 25,394.63
  4. Step 4: Simplify right side
    11,856.75x = 644,886,978.89
  5. Step 5: Solve for x
    x = 644,886,978.89/11,856.75
  6. Step 6: Final answer
    x = 54,389.86

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