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Finding the Third Proportional to 9,502 and 19,634

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Solution

The third proportional to 9,502 and 19,634 is: 40,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502 : 19,634 = 19,634 : x
  2. Step 2: Convert to fraction form
    9,502/19,634 = 19,634/x
  3. Step 3: Cross multiply
    9,502x = 19,634 × 19,634
  4. Step 4: Simplify right side
    9,502x = 385,493,956
  5. Step 5: Solve for x
    x = 385,493,956/9,502
  6. Step 6: Final answer
    x = 40,569.77

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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.