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Finding the Third Proportional to 28,084 and 61,448

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Solution

The third proportional to 28,084 and 61,448 is: 134,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,084 : 61,448 = 61,448 : x
  2. Step 2: Convert to fraction form
    28,084/61,448 = 61,448/x
  3. Step 3: Cross multiply
    28,084x = 61,448 × 61,448
  4. Step 4: Simplify right side
    28,084x = 3,775,856,704
  5. Step 5: Solve for x
    x = 3,775,856,704/28,084
  6. Step 6: Final answer
    x = 134,448.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.