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Finding the Third Proportional to 28,219 and 61,297

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Solution

The third proportional to 28,219 and 61,297 is: 133,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,219 : 61,297 = 61,297 : x
  2. Step 2: Convert to fraction form
    28,219/61,297 = 61,297/x
  3. Step 3: Cross multiply
    28,219x = 61,297 × 61,297
  4. Step 4: Simplify right side
    28,219x = 3,757,322,209
  5. Step 5: Solve for x
    x = 3,757,322,209/28,219
  6. Step 6: Final answer
    x = 133,148.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.