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Finding the Third Proportional to 35,840.39 and 77,911.03

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Solution

The third proportional to 35,840.39 and 77,911.03 is: 169,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840.39 : 77,911.03 = 77,911.03 : x
  2. Step 2: Convert to fraction form
    35,840.39/77,911.03 = 77,911.03/x
  3. Step 3: Cross multiply
    35,840.39x = 77,911.03 × 77,911.03
  4. Step 4: Simplify right side
    35,840.39x = 6,070,128,790.44
  5. Step 5: Solve for x
    x = 6,070,128,790.44/35,840.39
  6. Step 6: Final answer
    x = 169,365.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.