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Finding the Third Proportional to 2,043 and 2,695.50

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Solution

The third proportional to 2,043 and 2,695.50 is: 3,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043 : 2,695.50 = 2,695.50 : x
  2. Step 2: Convert to fraction form
    2,043/2,695.50 = 2,695.50/x
  3. Step 3: Cross multiply
    2,043x = 2,695.50 × 2,695.50
  4. Step 4: Simplify right side
    2,043x = 7,265,720.25
  5. Step 5: Solve for x
    x = 7,265,720.25/2,043
  6. Step 6: Final answer
    x = 3,556.40

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.