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Finding the Third Proportional to 5,669.72 and 12,159.56

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Solution

The third proportional to 5,669.72 and 12,159.56 is: 26,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.72 : 12,159.56 = 12,159.56 : x
  2. Step 2: Convert to fraction form
    5,669.72/12,159.56 = 12,159.56/x
  3. Step 3: Cross multiply
    5,669.72x = 12,159.56 × 12,159.56
  4. Step 4: Simplify right side
    5,669.72x = 147,854,960.19
  5. Step 5: Solve for x
    x = 147,854,960.19/5,669.72
  6. Step 6: Final answer
    x = 26,078.01

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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.