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Finding the Third Proportional to 5,886.42 and 8,883.42

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Solution

The third proportional to 5,886.42 and 8,883.42 is: 13,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.42 : 8,883.42 = 8,883.42 : x
  2. Step 2: Convert to fraction form
    5,886.42/8,883.42 = 8,883.42/x
  3. Step 3: Cross multiply
    5,886.42x = 8,883.42 × 8,883.42
  4. Step 4: Simplify right side
    5,886.42x = 78,915,184.21
  5. Step 5: Solve for x
    x = 78,915,184.21/5,886.42
  6. Step 6: Final answer
    x = 13,406.31

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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.