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Finding the Third Proportional to 35,590 and 53,286

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Solution

The third proportional to 35,590 and 53,286 is: 79,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,590 : 53,286 = 53,286 : x
  2. Step 2: Convert to fraction form
    35,590/53,286 = 53,286/x
  3. Step 3: Cross multiply
    35,590x = 53,286 × 53,286
  4. Step 4: Simplify right side
    35,590x = 2,839,397,796
  5. Step 5: Solve for x
    x = 2,839,397,796/35,590
  6. Step 6: Final answer
    x = 79,780.78

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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.