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Finding the Third Proportional to 14,606.50 and 33,470.50

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Solution

The third proportional to 14,606.50 and 33,470.50 is: 76,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.50 : 33,470.50 = 33,470.50 : x
  2. Step 2: Convert to fraction form
    14,606.50/33,470.50 = 33,470.50/x
  3. Step 3: Cross multiply
    14,606.50x = 33,470.50 × 33,470.50
  4. Step 4: Simplify right side
    14,606.50x = 1,120,274,370.25
  5. Step 5: Solve for x
    x = 1,120,274,370.25/14,606.50
  6. Step 6: Final answer
    x = 76,696.98

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These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.