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Finding the Third Proportional to 20,156.34 and 44,148.09

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Solution

The third proportional to 20,156.34 and 44,148.09 is: 96,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.34 : 44,148.09 = 44,148.09 : x
  2. Step 2: Convert to fraction form
    20,156.34/44,148.09 = 44,148.09/x
  3. Step 3: Cross multiply
    20,156.34x = 44,148.09 × 44,148.09
  4. Step 4: Simplify right side
    20,156.34x = 1,949,054,181.76
  5. Step 5: Solve for x
    x = 1,949,054,181.76/20,156.34
  6. Step 6: Final answer
    x = 96,696.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.