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Finding the Third Proportional to 13,965.50 and 30,117.75

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Solution

The third proportional to 13,965.50 and 30,117.75 is: 64,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.50 : 30,117.75 = 30,117.75 : x
  2. Step 2: Convert to fraction form
    13,965.50/30,117.75 = 30,117.75/x
  3. Step 3: Cross multiply
    13,965.50x = 30,117.75 × 30,117.75
  4. Step 4: Simplify right side
    13,965.50x = 907,078,865.06
  5. Step 5: Solve for x
    x = 907,078,865.06/13,965.50
  6. Step 6: Final answer
    x = 64,951.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.