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Finding the Third Proportional to 34,102.41 and 74,399.63

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Solution

The third proportional to 34,102.41 and 74,399.63 is: 162,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.41 : 74,399.63 = 74,399.63 : x
  2. Step 2: Convert to fraction form
    34,102.41/74,399.63 = 74,399.63/x
  3. Step 3: Cross multiply
    34,102.41x = 74,399.63 × 74,399.63
  4. Step 4: Simplify right side
    34,102.41x = 5,535,304,200.14
  5. Step 5: Solve for x
    x = 5,535,304,200.14/34,102.41
  6. Step 6: Final answer
    x = 162,314.18

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Why These Related Problems?

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