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Finding the Third Proportional to 35,873.09 and 78,204.87

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Solution

The third proportional to 35,873.09 and 78,204.87 is: 170,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,873.09 : 78,204.87 = 78,204.87 : x
  2. Step 2: Convert to fraction form
    35,873.09/78,204.87 = 78,204.87/x
  3. Step 3: Cross multiply
    35,873.09x = 78,204.87 × 78,204.87
  4. Step 4: Simplify right side
    35,873.09x = 6,116,001,251.81
  5. Step 5: Solve for x
    x = 6,116,001,251.81/35,873.09
  6. Step 6: Final answer
    x = 170,489.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.