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Finding the Third Proportional to 5,851.13 and 8,850.94

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Solution

The third proportional to 5,851.13 and 8,850.94 is: 13,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.13 : 8,850.94 = 8,850.94 : x
  2. Step 2: Convert to fraction form
    5,851.13/8,850.94 = 8,850.94/x
  3. Step 3: Cross multiply
    5,851.13x = 8,850.94 × 8,850.94
  4. Step 4: Simplify right side
    5,851.13x = 78,339,094.63
  5. Step 5: Solve for x
    x = 78,339,094.63/5,851.13
  6. Step 6: Final answer
    x = 13,388.72

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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.