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Finding the Third Proportional to 2,657.81 and 6,820.03

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Solution

The third proportional to 2,657.81 and 6,820.03 is: 17,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.81 : 6,820.03 = 6,820.03 : x
  2. Step 2: Convert to fraction form
    2,657.81/6,820.03 = 6,820.03/x
  3. Step 3: Cross multiply
    2,657.81x = 6,820.03 × 6,820.03
  4. Step 4: Simplify right side
    2,657.81x = 46,512,826.25
  5. Step 5: Solve for x
    x = 46,512,826.25/2,657.81
  6. Step 6: Final answer
    x = 17,500.42

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.