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Finding the Third Proportional to 41,364 and 63,270

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Solution

The third proportional to 41,364 and 63,270 is: 96,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,364 : 63,270 = 63,270 : x
  2. Step 2: Convert to fraction form
    41,364/63,270 = 63,270/x
  3. Step 3: Cross multiply
    41,364x = 63,270 × 63,270
  4. Step 4: Simplify right side
    41,364x = 4,003,092,900
  5. Step 5: Solve for x
    x = 4,003,092,900/41,364
  6. Step 6: Final answer
    x = 96,777.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.