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Finding the Third Proportional to 26,344 and 58,946

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Solution

The third proportional to 26,344 and 58,946 is: 131,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,344 : 58,946 = 58,946 : x
  2. Step 2: Convert to fraction form
    26,344/58,946 = 58,946/x
  3. Step 3: Cross multiply
    26,344x = 58,946 × 58,946
  4. Step 4: Simplify right side
    26,344x = 3,474,630,916
  5. Step 5: Solve for x
    x = 3,474,630,916/26,344
  6. Step 6: Final answer
    x = 131,894.58

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.