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Finding the Third Proportional to 29,388 and 61,648

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Solution

The third proportional to 29,388 and 61,648 is: 129,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,388 : 61,648 = 61,648 : x
  2. Step 2: Convert to fraction form
    29,388/61,648 = 61,648/x
  3. Step 3: Cross multiply
    29,388x = 61,648 × 61,648
  4. Step 4: Simplify right side
    29,388x = 3,800,475,904
  5. Step 5: Solve for x
    x = 3,800,475,904/29,388
  6. Step 6: Final answer
    x = 129,320.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.