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Finding the Third Proportional to 9,927 and 24,477.75

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Solution

The third proportional to 9,927 and 24,477.75 is: 60,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927 : 24,477.75 = 24,477.75 : x
  2. Step 2: Convert to fraction form
    9,927/24,477.75 = 24,477.75/x
  3. Step 3: Cross multiply
    9,927x = 24,477.75 × 24,477.75
  4. Step 4: Simplify right side
    9,927x = 599,160,245.06
  5. Step 5: Solve for x
    x = 599,160,245.06/9,927
  6. Step 6: Final answer
    x = 60,356.63

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.