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Finding the Third Proportional to 35,897 and 50,303

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Solution

The third proportional to 35,897 and 50,303 is: 70,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897 : 50,303 = 50,303 : x
  2. Step 2: Convert to fraction form
    35,897/50,303 = 50,303/x
  3. Step 3: Cross multiply
    35,897x = 50,303 × 50,303
  4. Step 4: Simplify right side
    35,897x = 2,530,391,809
  5. Step 5: Solve for x
    x = 2,530,391,809/35,897
  6. Step 6: Final answer
    x = 70,490.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.