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Finding the Third Proportional to 1,235.63 and 2,700.75

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Solution

The third proportional to 1,235.63 and 2,700.75 is: 5,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.63 : 2,700.75 = 2,700.75 : x
  2. Step 2: Convert to fraction form
    1,235.63/2,700.75 = 2,700.75/x
  3. Step 3: Cross multiply
    1,235.63x = 2,700.75 × 2,700.75
  4. Step 4: Simplify right side
    1,235.63x = 7,294,050.56
  5. Step 5: Solve for x
    x = 7,294,050.56/1,235.63
  6. Step 6: Final answer
    x = 5,903.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.