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Finding the Third Proportional to 28,138 and 61,504

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Solution

The third proportional to 28,138 and 61,504 is: 134,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138 : 61,504 = 61,504 : x
  2. Step 2: Convert to fraction form
    28,138/61,504 = 61,504/x
  3. Step 3: Cross multiply
    28,138x = 61,504 × 61,504
  4. Step 4: Simplify right side
    28,138x = 3,782,742,016
  5. Step 5: Solve for x
    x = 3,782,742,016/28,138
  6. Step 6: Final answer
    x = 134,435.35

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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.