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Finding the Third Proportional to 2,847.18 and 4,457.53

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Solution

The third proportional to 2,847.18 and 4,457.53 is: 6,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.18 : 4,457.53 = 4,457.53 : x
  2. Step 2: Convert to fraction form
    2,847.18/4,457.53 = 4,457.53/x
  3. Step 3: Cross multiply
    2,847.18x = 4,457.53 × 4,457.53
  4. Step 4: Simplify right side
    2,847.18x = 19,869,584.84
  5. Step 5: Solve for x
    x = 19,869,584.84/2,847.18
  6. Step 6: Final answer
    x = 6,978.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.