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Finding the Third Proportional to 10,669.22 and 11,557.69

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Solution

The third proportional to 10,669.22 and 11,557.69 is: 12,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.22 : 11,557.69 = 11,557.69 : x
  2. Step 2: Convert to fraction form
    10,669.22/11,557.69 = 11,557.69/x
  3. Step 3: Cross multiply
    10,669.22x = 11,557.69 × 11,557.69
  4. Step 4: Simplify right side
    10,669.22x = 133,580,140.35
  5. Step 5: Solve for x
    x = 133,580,140.35/10,669.22
  6. Step 6: Final answer
    x = 12,520.14

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.