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Finding the Third Proportional to 9,941.06 and 21,257.44

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Solution

The third proportional to 9,941.06 and 21,257.44 is: 45,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.06 : 21,257.44 = 21,257.44 : x
  2. Step 2: Convert to fraction form
    9,941.06/21,257.44 = 21,257.44/x
  3. Step 3: Cross multiply
    9,941.06x = 21,257.44 × 21,257.44
  4. Step 4: Simplify right side
    9,941.06x = 451,878,649.07
  5. Step 5: Solve for x
    x = 451,878,649.07/9,941.06
  6. Step 6: Final answer
    x = 45,455.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.