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Finding the Third Proportional to 5,461.80 and 11,702.60

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Solution

The third proportional to 5,461.80 and 11,702.60 is: 25,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.80 : 11,702.60 = 11,702.60 : x
  2. Step 2: Convert to fraction form
    5,461.80/11,702.60 = 11,702.60/x
  3. Step 3: Cross multiply
    5,461.80x = 11,702.60 × 11,702.60
  4. Step 4: Simplify right side
    5,461.80x = 136,950,883.33
  5. Step 5: Solve for x
    x = 136,950,883.33/5,461.80
  6. Step 6: Final answer
    x = 25,074.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.