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Finding the Third Proportional to 9,226 and 19,526

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Solution

The third proportional to 9,226 and 19,526 is: 41,325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226 : 19,526 = 19,526 : x
  2. Step 2: Convert to fraction form
    9,226/19,526 = 19,526/x
  3. Step 3: Cross multiply
    9,226x = 19,526 × 19,526
  4. Step 4: Simplify right side
    9,226x = 381,264,676
  5. Step 5: Solve for x
    x = 381,264,676/9,226
  6. Step 6: Final answer
    x = 41,325.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.