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Finding the Third Proportional to 2,173.88 and 3,500.06

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Solution

The third proportional to 2,173.88 and 3,500.06 is: 5,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.88 : 3,500.06 = 3,500.06 : x
  2. Step 2: Convert to fraction form
    2,173.88/3,500.06 = 3,500.06/x
  3. Step 3: Cross multiply
    2,173.88x = 3,500.06 × 3,500.06
  4. Step 4: Simplify right side
    2,173.88x = 12,250,437.50
  5. Step 5: Solve for x
    x = 12,250,437.50/2,173.88
  6. Step 6: Final answer
    x = 5,635.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.