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Finding the Third Proportional to 24,334 and 50,490

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Solution

The third proportional to 24,334 and 50,490 is: 104,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334 : 50,490 = 50,490 : x
  2. Step 2: Convert to fraction form
    24,334/50,490 = 50,490/x
  3. Step 3: Cross multiply
    24,334x = 50,490 × 50,490
  4. Step 4: Simplify right side
    24,334x = 2,549,240,100
  5. Step 5: Solve for x
    x = 2,549,240,100/24,334
  6. Step 6: Final answer
    x = 104,760.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.