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Finding the Third Proportional to 35,816 and 75,902

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Solution

The third proportional to 35,816 and 75,902 is: 160,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,816 : 75,902 = 75,902 : x
  2. Step 2: Convert to fraction form
    35,816/75,902 = 75,902/x
  3. Step 3: Cross multiply
    35,816x = 75,902 × 75,902
  4. Step 4: Simplify right side
    35,816x = 5,761,113,604
  5. Step 5: Solve for x
    x = 5,761,113,604/35,816
  6. Step 6: Final answer
    x = 160,853.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.