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Finding the Third Proportional to 2,964 and 3,260

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Solution

The third proportional to 2,964 and 3,260 is: 3,585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964 : 3,260 = 3,260 : x
  2. Step 2: Convert to fraction form
    2,964/3,260 = 3,260/x
  3. Step 3: Cross multiply
    2,964x = 3,260 × 3,260
  4. Step 4: Simplify right side
    2,964x = 10,627,600
  5. Step 5: Solve for x
    x = 10,627,600/2,964
  6. Step 6: Final answer
    x = 3,585.56

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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.