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Finding the Third Proportional to 6,714 and 10,201.50

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Solution

The third proportional to 6,714 and 10,201.50 is: 15,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714 : 10,201.50 = 10,201.50 : x
  2. Step 2: Convert to fraction form
    6,714/10,201.50 = 10,201.50/x
  3. Step 3: Cross multiply
    6,714x = 10,201.50 × 10,201.50
  4. Step 4: Simplify right side
    6,714x = 104,070,602.25
  5. Step 5: Solve for x
    x = 104,070,602.25/6,714
  6. Step 6: Final answer
    x = 15,500.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.