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Finding the Third Proportional to 24,621.75 and 35,856

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Solution

The third proportional to 24,621.75 and 35,856 is: 52,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,621.75 : 35,856 = 35,856 : x
  2. Step 2: Convert to fraction form
    24,621.75/35,856 = 35,856/x
  3. Step 3: Cross multiply
    24,621.75x = 35,856 × 35,856
  4. Step 4: Simplify right side
    24,621.75x = 1,285,652,736
  5. Step 5: Solve for x
    x = 1,285,652,736/24,621.75
  6. Step 6: Final answer
    x = 52,216.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.