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Finding the Third Proportional to 24,776 and 32,844

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Solution

The third proportional to 24,776 and 32,844 is: 43,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776 : 32,844 = 32,844 : x
  2. Step 2: Convert to fraction form
    24,776/32,844 = 32,844/x
  3. Step 3: Cross multiply
    24,776x = 32,844 × 32,844
  4. Step 4: Simplify right side
    24,776x = 1,078,728,336
  5. Step 5: Solve for x
    x = 1,078,728,336/24,776
  6. Step 6: Final answer
    x = 43,539.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.