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Finding the Third Proportional to 5,606.09 and 12,146.20

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Solution

The third proportional to 5,606.09 and 12,146.20 is: 26,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.09 : 12,146.20 = 12,146.20 : x
  2. Step 2: Convert to fraction form
    5,606.09/12,146.20 = 12,146.20/x
  3. Step 3: Cross multiply
    5,606.09x = 12,146.20 × 12,146.20
  4. Step 4: Simplify right side
    5,606.09x = 147,530,250.35
  5. Step 5: Solve for x
    x = 147,530,250.35/5,606.09
  6. Step 6: Final answer
    x = 26,316.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.