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Finding the Third Proportional to 4,841 and 7,119.50

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Solution

The third proportional to 4,841 and 7,119.50 is: 10,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841 : 7,119.50 = 7,119.50 : x
  2. Step 2: Convert to fraction form
    4,841/7,119.50 = 7,119.50/x
  3. Step 3: Cross multiply
    4,841x = 7,119.50 × 7,119.50
  4. Step 4: Simplify right side
    4,841x = 50,687,280.25
  5. Step 5: Solve for x
    x = 50,687,280.25/4,841
  6. Step 6: Final answer
    x = 10,470.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.