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Finding the Third Proportional to 5,343.47 and 11,609.58

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Solution

The third proportional to 5,343.47 and 11,609.58 is: 25,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.47 : 11,609.58 = 11,609.58 : x
  2. Step 2: Convert to fraction form
    5,343.47/11,609.58 = 11,609.58/x
  3. Step 3: Cross multiply
    5,343.47x = 11,609.58 × 11,609.58
  4. Step 4: Simplify right side
    5,343.47x = 134,782,304.24
  5. Step 5: Solve for x
    x = 134,782,304.24/5,343.47
  6. Step 6: Final answer
    x = 25,223.75

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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.