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Finding the Third Proportional to 34,629.19 and 74,555.44

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Solution

The third proportional to 34,629.19 and 74,555.44 is: 160,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,629.19 : 74,555.44 = 74,555.44 : x
  2. Step 2: Convert to fraction form
    34,629.19/74,555.44 = 74,555.44/x
  3. Step 3: Cross multiply
    34,629.19x = 74,555.44 × 74,555.44
  4. Step 4: Simplify right side
    34,629.19x = 5,558,513,260.82
  5. Step 5: Solve for x
    x = 5,558,513,260.82/34,629.19
  6. Step 6: Final answer
    x = 160,515.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.