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Finding the Third Proportional to 19,634 and 43,364

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Solution

The third proportional to 19,634 and 43,364 is: 95,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634 : 43,364 = 43,364 : x
  2. Step 2: Convert to fraction form
    19,634/43,364 = 43,364/x
  3. Step 3: Cross multiply
    19,634x = 43,364 × 43,364
  4. Step 4: Simplify right side
    19,634x = 1,880,436,496
  5. Step 5: Solve for x
    x = 1,880,436,496/19,634
  6. Step 6: Final answer
    x = 95,774.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.