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Finding the Third Proportional to 11,669.44 and 25,606.50

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Solution

The third proportional to 11,669.44 and 25,606.50 is: 56,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.44 : 25,606.50 = 25,606.50 : x
  2. Step 2: Convert to fraction form
    11,669.44/25,606.50 = 25,606.50/x
  3. Step 3: Cross multiply
    11,669.44x = 25,606.50 × 25,606.50
  4. Step 4: Simplify right side
    11,669.44x = 655,692,842.25
  5. Step 5: Solve for x
    x = 655,692,842.25/11,669.44
  6. Step 6: Final answer
    x = 56,188.90

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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.