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Finding the Third Proportional to 9,201 and 19,413

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Solution

The third proportional to 9,201 and 19,413 is: 40,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201 : 19,413 = 19,413 : x
  2. Step 2: Convert to fraction form
    9,201/19,413 = 19,413/x
  3. Step 3: Cross multiply
    9,201x = 19,413 × 19,413
  4. Step 4: Simplify right side
    9,201x = 376,864,569
  5. Step 5: Solve for x
    x = 376,864,569/9,201
  6. Step 6: Final answer
    x = 40,959.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.