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Finding the Third Proportional to 35,618.63 and 76,004.63

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Solution

The third proportional to 35,618.63 and 76,004.63 is: 162,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,618.63 : 76,004.63 = 76,004.63 : x
  2. Step 2: Convert to fraction form
    35,618.63/76,004.63 = 76,004.63/x
  3. Step 3: Cross multiply
    35,618.63x = 76,004.63 × 76,004.63
  4. Step 4: Simplify right side
    35,618.63x = 5,776,703,021.39
  5. Step 5: Solve for x
    x = 5,776,703,021.39/35,618.63
  6. Step 6: Final answer
    x = 162,182.09

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Why These Related Problems?

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