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Finding the Third Proportional to 24,774 and 35,313

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Solution

The third proportional to 24,774 and 35,313 is: 50,335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774 : 35,313 = 35,313 : x
  2. Step 2: Convert to fraction form
    24,774/35,313 = 35,313/x
  3. Step 3: Cross multiply
    24,774x = 35,313 × 35,313
  4. Step 4: Simplify right side
    24,774x = 1,247,007,969
  5. Step 5: Solve for x
    x = 1,247,007,969/24,774
  6. Step 6: Final answer
    x = 50,335.35

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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.