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Finding the Third Proportional to 30,254 and 56,836

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Solution

The third proportional to 30,254 and 56,836 is: 106,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254 : 56,836 = 56,836 : x
  2. Step 2: Convert to fraction form
    30,254/56,836 = 56,836/x
  3. Step 3: Cross multiply
    30,254x = 56,836 × 56,836
  4. Step 4: Simplify right side
    30,254x = 3,230,330,896
  5. Step 5: Solve for x
    x = 3,230,330,896/30,254
  6. Step 6: Final answer
    x = 106,773.68

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.