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Finding the Third Proportional to 24,232 and 50,354

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Solution

The third proportional to 24,232 and 50,354 is: 104,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232 : 50,354 = 50,354 : x
  2. Step 2: Convert to fraction form
    24,232/50,354 = 50,354/x
  3. Step 3: Cross multiply
    24,232x = 50,354 × 50,354
  4. Step 4: Simplify right side
    24,232x = 2,535,525,316
  5. Step 5: Solve for x
    x = 2,535,525,316/24,232
  6. Step 6: Final answer
    x = 104,635.41

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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.