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Finding the Third Proportional to 4,683.38 and 7,075.69

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Solution

The third proportional to 4,683.38 and 7,075.69 is: 10,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.38 : 7,075.69 = 7,075.69 : x
  2. Step 2: Convert to fraction form
    4,683.38/7,075.69 = 7,075.69/x
  3. Step 3: Cross multiply
    4,683.38x = 7,075.69 × 7,075.69
  4. Step 4: Simplify right side
    4,683.38x = 50,065,353.60
  5. Step 5: Solve for x
    x = 50,065,353.60/4,683.38
  6. Step 6: Final answer
    x = 10,690.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.