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Finding the Third Proportional to 34,634.63 and 74,795.63

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Solution

The third proportional to 34,634.63 and 74,795.63 is: 161,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,634.63 : 74,795.63 = 74,795.63 : x
  2. Step 2: Convert to fraction form
    34,634.63/74,795.63 = 74,795.63/x
  3. Step 3: Cross multiply
    34,634.63x = 74,795.63 × 74,795.63
  4. Step 4: Simplify right side
    34,634.63x = 5,594,385,519.14
  5. Step 5: Solve for x
    x = 5,594,385,519.14/34,634.63
  6. Step 6: Final answer
    x = 161,525.80

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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.