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Finding the Third Proportional to 20,195 and 31,445

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Solution

The third proportional to 20,195 and 31,445 is: 48,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195 : 31,445 = 31,445 : x
  2. Step 2: Convert to fraction form
    20,195/31,445 = 31,445/x
  3. Step 3: Cross multiply
    20,195x = 31,445 × 31,445
  4. Step 4: Simplify right side
    20,195x = 988,788,025
  5. Step 5: Solve for x
    x = 988,788,025/20,195
  6. Step 6: Final answer
    x = 48,962.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.