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Finding the Third Proportional to 35,645.06 and 76,985.44

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Solution

The third proportional to 35,645.06 and 76,985.44 is: 166,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645.06 : 76,985.44 = 76,985.44 : x
  2. Step 2: Convert to fraction form
    35,645.06/76,985.44 = 76,985.44/x
  3. Step 3: Cross multiply
    35,645.06x = 76,985.44 × 76,985.44
  4. Step 4: Simplify right side
    35,645.06x = 5,926,757,587.07
  5. Step 5: Solve for x
    x = 5,926,757,587.07/35,645.06
  6. Step 6: Final answer
    x = 166,271.49

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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.