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Finding the Third Proportional to 1,704.80 and 2,756.53

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Solution

The third proportional to 1,704.80 and 2,756.53 is: 4,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.80 : 2,756.53 = 2,756.53 : x
  2. Step 2: Convert to fraction form
    1,704.80/2,756.53 = 2,756.53/x
  3. Step 3: Cross multiply
    1,704.80x = 2,756.53 × 2,756.53
  4. Step 4: Simplify right side
    1,704.80x = 7,598,464.53
  5. Step 5: Solve for x
    x = 7,598,464.53/1,704.80
  6. Step 6: Final answer
    x = 4,457.11

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.