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Finding the Third Proportional to 14,600.25 and 31,763.39

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Solution

The third proportional to 14,600.25 and 31,763.39 is: 69,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.25 : 31,763.39 = 31,763.39 : x
  2. Step 2: Convert to fraction form
    14,600.25/31,763.39 = 31,763.39/x
  3. Step 3: Cross multiply
    14,600.25x = 31,763.39 × 31,763.39
  4. Step 4: Simplify right side
    14,600.25x = 1,008,912,984.00
  5. Step 5: Solve for x
    x = 1,008,912,984.00/14,600.25
  6. Step 6: Final answer
    x = 69,102.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.