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Finding the Third Proportional to 2,969.25 and 6,303.75

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Solution

The third proportional to 2,969.25 and 6,303.75 is: 13,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.25 : 6,303.75 = 6,303.75 : x
  2. Step 2: Convert to fraction form
    2,969.25/6,303.75 = 6,303.75/x
  3. Step 3: Cross multiply
    2,969.25x = 6,303.75 × 6,303.75
  4. Step 4: Simplify right side
    2,969.25x = 39,737,264.06
  5. Step 5: Solve for x
    x = 39,737,264.06/2,969.25
  6. Step 6: Final answer
    x = 13,382.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.