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Finding the Third Proportional to 35,349.19 and 76,233.38

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Solution

The third proportional to 35,349.19 and 76,233.38 is: 164,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,349.19 : 76,233.38 = 76,233.38 : x
  2. Step 2: Convert to fraction form
    35,349.19/76,233.38 = 76,233.38/x
  3. Step 3: Cross multiply
    35,349.19x = 76,233.38 × 76,233.38
  4. Step 4: Simplify right side
    35,349.19x = 5,811,527,463.89
  5. Step 5: Solve for x
    x = 5,811,527,463.89/35,349.19
  6. Step 6: Final answer
    x = 164,403.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.