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Finding the Third Proportional to 35,733.66 and 76,218.47

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Solution

The third proportional to 35,733.66 and 76,218.47 is: 162,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,733.66 : 76,218.47 = 76,218.47 : x
  2. Step 2: Convert to fraction form
    35,733.66/76,218.47 = 76,218.47/x
  3. Step 3: Cross multiply
    35,733.66x = 76,218.47 × 76,218.47
  4. Step 4: Simplify right side
    35,733.66x = 5,809,254,978.59
  5. Step 5: Solve for x
    x = 5,809,254,978.59/35,733.66
  6. Step 6: Final answer
    x = 162,570.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.