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Finding the Third Proportional to 2,014.88 and 2,899.69

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Solution

The third proportional to 2,014.88 and 2,899.69 is: 4,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.88 : 2,899.69 = 2,899.69 : x
  2. Step 2: Convert to fraction form
    2,014.88/2,899.69 = 2,899.69/x
  3. Step 3: Cross multiply
    2,014.88x = 2,899.69 × 2,899.69
  4. Step 4: Simplify right side
    2,014.88x = 8,408,187.60
  5. Step 5: Solve for x
    x = 8,408,187.60/2,014.88
  6. Step 6: Final answer
    x = 4,173.06

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.