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Finding the Third Proportional to 11,126 and 22,559

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Solution

The third proportional to 11,126 and 22,559 is: 45,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,126 : 22,559 = 22,559 : x
  2. Step 2: Convert to fraction form
    11,126/22,559 = 22,559/x
  3. Step 3: Cross multiply
    11,126x = 22,559 × 22,559
  4. Step 4: Simplify right side
    11,126x = 508,908,481
  5. Step 5: Solve for x
    x = 508,908,481/11,126
  6. Step 6: Final answer
    x = 45,740.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.