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Finding the Third Proportional to 23,166 and 38,343.38

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Solution

The third proportional to 23,166 and 38,343.38 is: 63,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166 : 38,343.38 = 38,343.38 : x
  2. Step 2: Convert to fraction form
    23,166/38,343.38 = 38,343.38/x
  3. Step 3: Cross multiply
    23,166x = 38,343.38 × 38,343.38
  4. Step 4: Simplify right side
    23,166x = 1,470,214,406.39
  5. Step 5: Solve for x
    x = 1,470,214,406.39/23,166
  6. Step 6: Final answer
    x = 63,464.32

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.