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Finding the Third Proportional to 51,622.50 and 72,696.75

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Solution

The third proportional to 51,622.50 and 72,696.75 is: 102,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,622.50 : 72,696.75 = 72,696.75 : x
  2. Step 2: Convert to fraction form
    51,622.50/72,696.75 = 72,696.75/x
  3. Step 3: Cross multiply
    51,622.50x = 72,696.75 × 72,696.75
  4. Step 4: Simplify right side
    51,622.50x = 5,284,817,460.56
  5. Step 5: Solve for x
    x = 5,284,817,460.56/51,622.50
  6. Step 6: Final answer
    x = 102,374.30

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.