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Finding the Third Proportional to 24,833 and 35,827

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Solution

The third proportional to 24,833 and 35,827 is: 51,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833 : 35,827 = 35,827 : x
  2. Step 2: Convert to fraction form
    24,833/35,827 = 35,827/x
  3. Step 3: Cross multiply
    24,833x = 35,827 × 35,827
  4. Step 4: Simplify right side
    24,833x = 1,283,573,929
  5. Step 5: Solve for x
    x = 1,283,573,929/24,833
  6. Step 6: Final answer
    x = 51,688.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.