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Finding the Third Proportional to 2,742.75 and 6,580.13

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Solution

The third proportional to 2,742.75 and 6,580.13 is: 15,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.75 : 6,580.13 = 6,580.13 : x
  2. Step 2: Convert to fraction form
    2,742.75/6,580.13 = 6,580.13/x
  3. Step 3: Cross multiply
    2,742.75x = 6,580.13 × 6,580.13
  4. Step 4: Simplify right side
    2,742.75x = 43,298,045.02
  5. Step 5: Solve for x
    x = 43,298,045.02/2,742.75
  6. Step 6: Final answer
    x = 15,786.36

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.