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Finding the Third Proportional to 40,902 and 64,269

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Solution

The third proportional to 40,902 and 64,269 is: 100,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,902 : 64,269 = 64,269 : x
  2. Step 2: Convert to fraction form
    40,902/64,269 = 64,269/x
  3. Step 3: Cross multiply
    40,902x = 64,269 × 64,269
  4. Step 4: Simplify right side
    40,902x = 4,130,504,361
  5. Step 5: Solve for x
    x = 4,130,504,361/40,902
  6. Step 6: Final answer
    x = 100,985.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.