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Finding the Third Proportional to 2,999.53 and 4,499.93

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Solution

The third proportional to 2,999.53 and 4,499.93 is: 6,750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.53 : 4,499.93 = 4,499.93 : x
  2. Step 2: Convert to fraction form
    2,999.53/4,499.93 = 4,499.93/x
  3. Step 3: Cross multiply
    2,999.53x = 4,499.93 × 4,499.93
  4. Step 4: Simplify right side
    2,999.53x = 20,249,367.19
  5. Step 5: Solve for x
    x = 20,249,367.19/2,999.53
  6. Step 6: Final answer
    x = 6,750.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.