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Finding the Third Proportional to 5,317.75 and 7,434.25

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Solution

The third proportional to 5,317.75 and 7,434.25 is: 10,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.75 : 7,434.25 = 7,434.25 : x
  2. Step 2: Convert to fraction form
    5,317.75/7,434.25 = 7,434.25/x
  3. Step 3: Cross multiply
    5,317.75x = 7,434.25 × 7,434.25
  4. Step 4: Simplify right side
    5,317.75x = 55,268,073.06
  5. Step 5: Solve for x
    x = 55,268,073.06/5,317.75
  6. Step 6: Final answer
    x = 10,393.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.