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Finding the Third Proportional to 5,868.07 and 12,570.82

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Solution

The third proportional to 5,868.07 and 12,570.82 is: 26,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.07 : 12,570.82 = 12,570.82 : x
  2. Step 2: Convert to fraction form
    5,868.07/12,570.82 = 12,570.82/x
  3. Step 3: Cross multiply
    5,868.07x = 12,570.82 × 12,570.82
  4. Step 4: Simplify right side
    5,868.07x = 158,025,523.33
  5. Step 5: Solve for x
    x = 158,025,523.33/5,868.07
  6. Step 6: Final answer
    x = 26,929.73

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