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Finding the Third Proportional to 11,203 and 23,557

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Solution

The third proportional to 11,203 and 23,557 is: 49,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203 : 23,557 = 23,557 : x
  2. Step 2: Convert to fraction form
    11,203/23,557 = 23,557/x
  3. Step 3: Cross multiply
    11,203x = 23,557 × 23,557
  4. Step 4: Simplify right side
    11,203x = 554,932,249
  5. Step 5: Solve for x
    x = 554,932,249/11,203
  6. Step 6: Final answer
    x = 49,534.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.