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Finding the Third Proportional to 5,278.75 and 7,106.63

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Solution

The third proportional to 5,278.75 and 7,106.63 is: 9,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.75 : 7,106.63 = 7,106.63 : x
  2. Step 2: Convert to fraction form
    5,278.75/7,106.63 = 7,106.63/x
  3. Step 3: Cross multiply
    5,278.75x = 7,106.63 × 7,106.63
  4. Step 4: Simplify right side
    5,278.75x = 50,504,118.89
  5. Step 5: Solve for x
    x = 50,504,118.89/5,278.75
  6. Step 6: Final answer
    x = 9,567.44

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.