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Finding the Third Proportional to 24,808 and 35,796

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Solution

The third proportional to 24,808 and 35,796 is: 51,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808 : 35,796 = 35,796 : x
  2. Step 2: Convert to fraction form
    24,808/35,796 = 35,796/x
  3. Step 3: Cross multiply
    24,808x = 35,796 × 35,796
  4. Step 4: Simplify right side
    24,808x = 1,281,353,616
  5. Step 5: Solve for x
    x = 1,281,353,616/24,808
  6. Step 6: Final answer
    x = 51,650.82

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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.