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Finding the Third Proportional to 11,356 and 24,536

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Solution

The third proportional to 11,356 and 24,536 is: 53,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356 : 24,536 = 24,536 : x
  2. Step 2: Convert to fraction form
    11,356/24,536 = 24,536/x
  3. Step 3: Cross multiply
    11,356x = 24,536 × 24,536
  4. Step 4: Simplify right side
    11,356x = 602,015,296
  5. Step 5: Solve for x
    x = 602,015,296/11,356
  6. Step 6: Final answer
    x = 53,012.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.