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Finding the Third Proportional to 21,344.34 and 34,294.64

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Solution

The third proportional to 21,344.34 and 34,294.64 is: 55,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.34 : 34,294.64 = 34,294.64 : x
  2. Step 2: Convert to fraction form
    21,344.34/34,294.64 = 34,294.64/x
  3. Step 3: Cross multiply
    21,344.34x = 34,294.64 × 34,294.64
  4. Step 4: Simplify right side
    21,344.34x = 1,176,122,375.60
  5. Step 5: Solve for x
    x = 1,176,122,375.60/21,344.34
  6. Step 6: Final answer
    x = 55,102.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.