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Finding the Third Proportional to 2,899.69 and 4,500.98

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Solution

The third proportional to 2,899.69 and 4,500.98 is: 6,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.69 : 4,500.98 = 4,500.98 : x
  2. Step 2: Convert to fraction form
    2,899.69/4,500.98 = 4,500.98/x
  3. Step 3: Cross multiply
    2,899.69x = 4,500.98 × 4,500.98
  4. Step 4: Simplify right side
    2,899.69x = 20,258,860.34
  5. Step 5: Solve for x
    x = 20,258,860.34/2,899.69
  6. Step 6: Final answer
    x = 6,986.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.