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Finding the Third Proportional to 28,090.50 and 61,698

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Solution

The third proportional to 28,090.50 and 61,698 is: 135,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,090.50 : 61,698 = 61,698 : x
  2. Step 2: Convert to fraction form
    28,090.50/61,698 = 61,698/x
  3. Step 3: Cross multiply
    28,090.50x = 61,698 × 61,698
  4. Step 4: Simplify right side
    28,090.50x = 3,806,643,204
  5. Step 5: Solve for x
    x = 3,806,643,204/28,090.50
  6. Step 6: Final answer
    x = 135,513.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.