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Finding the Third Proportional to 4,065.75 and 5,522.63

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Solution

The third proportional to 4,065.75 and 5,522.63 is: 7,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.75 : 5,522.63 = 5,522.63 : x
  2. Step 2: Convert to fraction form
    4,065.75/5,522.63 = 5,522.63/x
  3. Step 3: Cross multiply
    4,065.75x = 5,522.63 × 5,522.63
  4. Step 4: Simplify right side
    4,065.75x = 30,499,386.89
  5. Step 5: Solve for x
    x = 30,499,386.89/4,065.75
  6. Step 6: Final answer
    x = 7,501.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.