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Finding the Third Proportional to 2,580.75 and 3,762.75

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Solution

The third proportional to 2,580.75 and 3,762.75 is: 5,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.75 : 3,762.75 = 3,762.75 : x
  2. Step 2: Convert to fraction form
    2,580.75/3,762.75 = 3,762.75/x
  3. Step 3: Cross multiply
    2,580.75x = 3,762.75 × 3,762.75
  4. Step 4: Simplify right side
    2,580.75x = 14,158,287.56
  5. Step 5: Solve for x
    x = 14,158,287.56/2,580.75
  6. Step 6: Final answer
    x = 5,486.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.