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Finding the Third Proportional to 4,937.63 and 11,803.50

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Solution

The third proportional to 4,937.63 and 11,803.50 is: 28,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.63 : 11,803.50 = 11,803.50 : x
  2. Step 2: Convert to fraction form
    4,937.63/11,803.50 = 11,803.50/x
  3. Step 3: Cross multiply
    4,937.63x = 11,803.50 × 11,803.50
  4. Step 4: Simplify right side
    4,937.63x = 139,322,612.25
  5. Step 5: Solve for x
    x = 139,322,612.25/4,937.63
  6. Step 6: Final answer
    x = 28,216.52

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.