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Finding the Third Proportional to 10,126.50 and 20,739

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Solution

The third proportional to 10,126.50 and 20,739 is: 42,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.50 : 20,739 = 20,739 : x
  2. Step 2: Convert to fraction form
    10,126.50/20,739 = 20,739/x
  3. Step 3: Cross multiply
    10,126.50x = 20,739 × 20,739
  4. Step 4: Simplify right side
    10,126.50x = 430,106,121
  5. Step 5: Solve for x
    x = 430,106,121/10,126.50
  6. Step 6: Final answer
    x = 42,473.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.