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Finding the Third Proportional to 5,370 and 8,129.25

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Solution

The third proportional to 5,370 and 8,129.25 is: 12,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370 : 8,129.25 = 8,129.25 : x
  2. Step 2: Convert to fraction form
    5,370/8,129.25 = 8,129.25/x
  3. Step 3: Cross multiply
    5,370x = 8,129.25 × 8,129.25
  4. Step 4: Simplify right side
    5,370x = 66,084,705.56
  5. Step 5: Solve for x
    x = 66,084,705.56/5,370
  6. Step 6: Final answer
    x = 12,306.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.