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Finding the Third Proportional to 1,784.53 and 2,677.22

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Solution

The third proportional to 1,784.53 and 2,677.22 is: 4,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.53 : 2,677.22 = 2,677.22 : x
  2. Step 2: Convert to fraction form
    1,784.53/2,677.22 = 2,677.22/x
  3. Step 3: Cross multiply
    1,784.53x = 2,677.22 × 2,677.22
  4. Step 4: Simplify right side
    1,784.53x = 7,167,500.24
  5. Step 5: Solve for x
    x = 7,167,500.24/1,784.53
  6. Step 6: Final answer
    x = 4,016.46

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Why These Related Problems?

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