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Finding the Third Proportional to 4,959.56 and 7,441.03

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Solution

The third proportional to 4,959.56 and 7,441.03 is: 11,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.56 : 7,441.03 = 7,441.03 : x
  2. Step 2: Convert to fraction form
    4,959.56/7,441.03 = 7,441.03/x
  3. Step 3: Cross multiply
    4,959.56x = 7,441.03 × 7,441.03
  4. Step 4: Simplify right side
    4,959.56x = 55,368,946.06
  5. Step 5: Solve for x
    x = 55,368,946.06/4,959.56
  6. Step 6: Final answer
    x = 11,164.08

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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.