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Finding the Third Proportional to 2,820.50 and 3,090.50

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Solution

The third proportional to 2,820.50 and 3,090.50 is: 3,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.50 : 3,090.50 = 3,090.50 : x
  2. Step 2: Convert to fraction form
    2,820.50/3,090.50 = 3,090.50/x
  3. Step 3: Cross multiply
    2,820.50x = 3,090.50 × 3,090.50
  4. Step 4: Simplify right side
    2,820.50x = 9,551,190.25
  5. Step 5: Solve for x
    x = 9,551,190.25/2,820.50
  6. Step 6: Final answer
    x = 3,386.35

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.