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Finding the Third Proportional to 2,315.50 and 3,392.25

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Solution

The third proportional to 2,315.50 and 3,392.25 is: 4,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.50 : 3,392.25 = 3,392.25 : x
  2. Step 2: Convert to fraction form
    2,315.50/3,392.25 = 3,392.25/x
  3. Step 3: Cross multiply
    2,315.50x = 3,392.25 × 3,392.25
  4. Step 4: Simplify right side
    2,315.50x = 11,507,360.06
  5. Step 5: Solve for x
    x = 11,507,360.06/2,315.50
  6. Step 6: Final answer
    x = 4,969.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.