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Finding the Third Proportional to 11,125 and 22,557

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Solution

The third proportional to 11,125 and 22,557 is: 45,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,125 : 22,557 = 22,557 : x
  2. Step 2: Convert to fraction form
    11,125/22,557 = 22,557/x
  3. Step 3: Cross multiply
    11,125x = 22,557 × 22,557
  4. Step 4: Simplify right side
    11,125x = 508,818,249
  5. Step 5: Solve for x
    x = 508,818,249/11,125
  6. Step 6: Final answer
    x = 45,736.47

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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.