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Finding the Third Proportional to 2,775.63 and 3,601.10

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Solution

The third proportional to 2,775.63 and 3,601.10 is: 4,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.63 : 3,601.10 = 3,601.10 : x
  2. Step 2: Convert to fraction form
    2,775.63/3,601.10 = 3,601.10/x
  3. Step 3: Cross multiply
    2,775.63x = 3,601.10 × 3,601.10
  4. Step 4: Simplify right side
    2,775.63x = 12,967,911.36
  5. Step 5: Solve for x
    x = 12,967,911.36/2,775.63
  6. Step 6: Final answer
    x = 4,672.05

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.