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Finding the Third Proportional to 36,902 and 76,430

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Solution

The third proportional to 36,902 and 76,430 is: 158,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,902 : 76,430 = 76,430 : x
  2. Step 2: Convert to fraction form
    36,902/76,430 = 76,430/x
  3. Step 3: Cross multiply
    36,902x = 76,430 × 76,430
  4. Step 4: Simplify right side
    36,902x = 5,841,544,900
  5. Step 5: Solve for x
    x = 5,841,544,900/36,902
  6. Step 6: Final answer
    x = 158,298.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.