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Finding the Third Proportional to 23,184 and 48,328.50

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Solution

The third proportional to 23,184 and 48,328.50 is: 100,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184 : 48,328.50 = 48,328.50 : x
  2. Step 2: Convert to fraction form
    23,184/48,328.50 = 48,328.50/x
  3. Step 3: Cross multiply
    23,184x = 48,328.50 × 48,328.50
  4. Step 4: Simplify right side
    23,184x = 2,335,643,912.25
  5. Step 5: Solve for x
    x = 2,335,643,912.25/23,184
  6. Step 6: Final answer
    x = 100,743.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.