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Finding the Third Proportional to 23,590 and 35,446

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Solution

The third proportional to 23,590 and 35,446 is: 53,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590 : 35,446 = 35,446 : x
  2. Step 2: Convert to fraction form
    23,590/35,446 = 35,446/x
  3. Step 3: Cross multiply
    23,590x = 35,446 × 35,446
  4. Step 4: Simplify right side
    23,590x = 1,256,418,916
  5. Step 5: Solve for x
    x = 1,256,418,916/23,590
  6. Step 6: Final answer
    x = 53,260.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.