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Finding the Third Proportional to 22,185.75 and 31,203.75

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Solution

The third proportional to 22,185.75 and 31,203.75 is: 43,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,185.75 : 31,203.75 = 31,203.75 : x
  2. Step 2: Convert to fraction form
    22,185.75/31,203.75 = 31,203.75/x
  3. Step 3: Cross multiply
    22,185.75x = 31,203.75 × 31,203.75
  4. Step 4: Simplify right side
    22,185.75x = 973,674,014.06
  5. Step 5: Solve for x
    x = 973,674,014.06/22,185.75
  6. Step 6: Final answer
    x = 43,887.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.