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Finding the Third Proportional to 8,948 and 13,733

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Solution

The third proportional to 8,948 and 13,733 is: 21,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948 : 13,733 = 13,733 : x
  2. Step 2: Convert to fraction form
    8,948/13,733 = 13,733/x
  3. Step 3: Cross multiply
    8,948x = 13,733 × 13,733
  4. Step 4: Simplify right side
    8,948x = 188,595,289
  5. Step 5: Solve for x
    x = 188,595,289/8,948
  6. Step 6: Final answer
    x = 21,076.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.