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Finding the Third Proportional to 35,290.69 and 76,114.69

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Solution

The third proportional to 35,290.69 and 76,114.69 is: 164,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,290.69 : 76,114.69 = 76,114.69 : x
  2. Step 2: Convert to fraction form
    35,290.69/76,114.69 = 76,114.69/x
  3. Step 3: Cross multiply
    35,290.69x = 76,114.69 × 76,114.69
  4. Step 4: Simplify right side
    35,290.69x = 5,793,445,653.22
  5. Step 5: Solve for x
    x = 5,793,445,653.22/35,290.69
  6. Step 6: Final answer
    x = 164,163.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.