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Finding the Third Proportional to 2,720.25 and 2,966.25

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Solution

The third proportional to 2,720.25 and 2,966.25 is: 3,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.25 : 2,966.25 = 2,966.25 : x
  2. Step 2: Convert to fraction form
    2,720.25/2,966.25 = 2,966.25/x
  3. Step 3: Cross multiply
    2,720.25x = 2,966.25 × 2,966.25
  4. Step 4: Simplify right side
    2,720.25x = 8,798,639.06
  5. Step 5: Solve for x
    x = 8,798,639.06/2,720.25
  6. Step 6: Final answer
    x = 3,234.50

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.