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Finding the Third Proportional to 11,006 and 22,948

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Solution

The third proportional to 11,006 and 22,948 is: 47,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006 : 22,948 = 22,948 : x
  2. Step 2: Convert to fraction form
    11,006/22,948 = 22,948/x
  3. Step 3: Cross multiply
    11,006x = 22,948 × 22,948
  4. Step 4: Simplify right side
    11,006x = 526,610,704
  5. Step 5: Solve for x
    x = 526,610,704/11,006
  6. Step 6: Final answer
    x = 47,847.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.