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Finding the Third Proportional to 34,634.25 and 75,782.25

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Solution

The third proportional to 34,634.25 and 75,782.25 is: 165,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,634.25 : 75,782.25 = 75,782.25 : x
  2. Step 2: Convert to fraction form
    34,634.25/75,782.25 = 75,782.25/x
  3. Step 3: Cross multiply
    34,634.25x = 75,782.25 × 75,782.25
  4. Step 4: Simplify right side
    34,634.25x = 5,742,949,415.06
  5. Step 5: Solve for x
    x = 5,742,949,415.06/34,634.25
  6. Step 6: Final answer
    x = 165,817.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.