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Finding the Third Proportional to 20,166 and 47,095

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Solution

The third proportional to 20,166 and 47,095 is: 109,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166 : 47,095 = 47,095 : x
  2. Step 2: Convert to fraction form
    20,166/47,095 = 47,095/x
  3. Step 3: Cross multiply
    20,166x = 47,095 × 47,095
  4. Step 4: Simplify right side
    20,166x = 2,217,939,025
  5. Step 5: Solve for x
    x = 2,217,939,025/20,166
  6. Step 6: Final answer
    x = 109,984.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.