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Finding the Third Proportional to 9,833 and 24,460.75

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Solution

The third proportional to 9,833 and 24,460.75 is: 60,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833 : 24,460.75 = 24,460.75 : x
  2. Step 2: Convert to fraction form
    9,833/24,460.75 = 24,460.75/x
  3. Step 3: Cross multiply
    9,833x = 24,460.75 × 24,460.75
  4. Step 4: Simplify right side
    9,833x = 598,328,290.56
  5. Step 5: Solve for x
    x = 598,328,290.56/9,833
  6. Step 6: Final answer
    x = 60,849.01

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.