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Finding the Third Proportional to 5,353.59 and 11,626.03

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Solution

The third proportional to 5,353.59 and 11,626.03 is: 25,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.59 : 11,626.03 = 11,626.03 : x
  2. Step 2: Convert to fraction form
    5,353.59/11,626.03 = 11,626.03/x
  3. Step 3: Cross multiply
    5,353.59x = 11,626.03 × 11,626.03
  4. Step 4: Simplify right side
    5,353.59x = 135,164,602.63
  5. Step 5: Solve for x
    x = 135,164,602.63/5,353.59
  6. Step 6: Final answer
    x = 25,247.45

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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.