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Finding the Third Proportional to 24,316 and 50,481

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Solution

The third proportional to 24,316 and 50,481 is: 104,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316 : 50,481 = 50,481 : x
  2. Step 2: Convert to fraction form
    24,316/50,481 = 50,481/x
  3. Step 3: Cross multiply
    24,316x = 50,481 × 50,481
  4. Step 4: Simplify right side
    24,316x = 2,548,331,361
  5. Step 5: Solve for x
    x = 2,548,331,361/24,316
  6. Step 6: Final answer
    x = 104,800.60

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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.