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Finding the Third Proportional to 24,794 and 35,490

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Solution

The third proportional to 24,794 and 35,490 is: 50,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794 : 35,490 = 35,490 : x
  2. Step 2: Convert to fraction form
    24,794/35,490 = 35,490/x
  3. Step 3: Cross multiply
    24,794x = 35,490 × 35,490
  4. Step 4: Simplify right side
    24,794x = 1,259,540,100
  5. Step 5: Solve for x
    x = 1,259,540,100/24,794
  6. Step 6: Final answer
    x = 50,800.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.