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Finding the Third Proportional to 14,238.75 and 31,220.25

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Solution

The third proportional to 14,238.75 and 31,220.25 is: 68,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.75 : 31,220.25 = 31,220.25 : x
  2. Step 2: Convert to fraction form
    14,238.75/31,220.25 = 31,220.25/x
  3. Step 3: Cross multiply
    14,238.75x = 31,220.25 × 31,220.25
  4. Step 4: Simplify right side
    14,238.75x = 974,704,010.06
  5. Step 5: Solve for x
    x = 974,704,010.06/14,238.75
  6. Step 6: Final answer
    x = 68,454.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.