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Finding the Third Proportional to 1,686.63 and 2,532.75

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Solution

The third proportional to 1,686.63 and 2,532.75 is: 3,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.63 : 2,532.75 = 2,532.75 : x
  2. Step 2: Convert to fraction form
    1,686.63/2,532.75 = 2,532.75/x
  3. Step 3: Cross multiply
    1,686.63x = 2,532.75 × 2,532.75
  4. Step 4: Simplify right side
    1,686.63x = 6,414,822.56
  5. Step 5: Solve for x
    x = 6,414,822.56/1,686.63
  6. Step 6: Final answer
    x = 3,803.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.