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Finding the Third Proportional to 24,376 and 50,480

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Solution

The third proportional to 24,376 and 50,480 is: 104,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376 : 50,480 = 50,480 : x
  2. Step 2: Convert to fraction form
    24,376/50,480 = 50,480/x
  3. Step 3: Cross multiply
    24,376x = 50,480 × 50,480
  4. Step 4: Simplify right side
    24,376x = 2,548,230,400
  5. Step 5: Solve for x
    x = 2,548,230,400/24,376
  6. Step 6: Final answer
    x = 104,538.50

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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.