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Finding the Third Proportional to 3,309.75 and 4,964.06

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Solution

The third proportional to 3,309.75 and 4,964.06 is: 7,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.75 : 4,964.06 = 4,964.06 : x
  2. Step 2: Convert to fraction form
    3,309.75/4,964.06 = 4,964.06/x
  3. Step 3: Cross multiply
    3,309.75x = 4,964.06 × 4,964.06
  4. Step 4: Simplify right side
    3,309.75x = 24,641,916.50
  5. Step 5: Solve for x
    x = 24,641,916.50/3,309.75
  6. Step 6: Final answer
    x = 7,445.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.