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Finding the Third Proportional to 29,326 and 59,689

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Solution

The third proportional to 29,326 and 59,689 is: 121,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,326 : 59,689 = 59,689 : x
  2. Step 2: Convert to fraction form
    29,326/59,689 = 59,689/x
  3. Step 3: Cross multiply
    29,326x = 59,689 × 59,689
  4. Step 4: Simplify right side
    29,326x = 3,562,776,721
  5. Step 5: Solve for x
    x = 3,562,776,721/29,326
  6. Step 6: Final answer
    x = 121,488.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.