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Finding the Third Proportional to 23,148 and 50,478

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Solution

The third proportional to 23,148 and 50,478 is: 110,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148 : 50,478 = 50,478 : x
  2. Step 2: Convert to fraction form
    23,148/50,478 = 50,478/x
  3. Step 3: Cross multiply
    23,148x = 50,478 × 50,478
  4. Step 4: Simplify right side
    23,148x = 2,548,028,484
  5. Step 5: Solve for x
    x = 2,548,028,484/23,148
  6. Step 6: Final answer
    x = 110,075.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.