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Finding the Third Proportional to 9,091 and 19,477

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Solution

The third proportional to 9,091 and 19,477 is: 41,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091 : 19,477 = 19,477 : x
  2. Step 2: Convert to fraction form
    9,091/19,477 = 19,477/x
  3. Step 3: Cross multiply
    9,091x = 19,477 × 19,477
  4. Step 4: Simplify right side
    9,091x = 379,353,529
  5. Step 5: Solve for x
    x = 379,353,529/9,091
  6. Step 6: Final answer
    x = 41,728.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.