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Finding the Third Proportional to 40,962 and 86,724

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Solution

The third proportional to 40,962 and 86,724 is: 183,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,962 : 86,724 = 86,724 : x
  2. Step 2: Convert to fraction form
    40,962/86,724 = 86,724/x
  3. Step 3: Cross multiply
    40,962x = 86,724 × 86,724
  4. Step 4: Simplify right side
    40,962x = 7,521,052,176
  5. Step 5: Solve for x
    x = 7,521,052,176/40,962
  6. Step 6: Final answer
    x = 183,610.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.