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Finding the Third Proportional to 28,631 and 61,066

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Solution

The third proportional to 28,631 and 61,066 is: 130,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,631 : 61,066 = 61,066 : x
  2. Step 2: Convert to fraction form
    28,631/61,066 = 61,066/x
  3. Step 3: Cross multiply
    28,631x = 61,066 × 61,066
  4. Step 4: Simplify right side
    28,631x = 3,729,056,356
  5. Step 5: Solve for x
    x = 3,729,056,356/28,631
  6. Step 6: Final answer
    x = 130,245.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.