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Finding the Third Proportional to 13,965.75 and 31,029.75

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Solution

The third proportional to 13,965.75 and 31,029.75 is: 68,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.75 : 31,029.75 = 31,029.75 : x
  2. Step 2: Convert to fraction form
    13,965.75/31,029.75 = 31,029.75/x
  3. Step 3: Cross multiply
    13,965.75x = 31,029.75 × 31,029.75
  4. Step 4: Simplify right side
    13,965.75x = 962,845,385.06
  5. Step 5: Solve for x
    x = 962,845,385.06/13,965.75
  6. Step 6: Final answer
    x = 68,943.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.