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Finding the Third Proportional to 11,413 and 24,927

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Solution

The third proportional to 11,413 and 24,927 is: 54,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413 : 24,927 = 24,927 : x
  2. Step 2: Convert to fraction form
    11,413/24,927 = 24,927/x
  3. Step 3: Cross multiply
    11,413x = 24,927 × 24,927
  4. Step 4: Simplify right side
    11,413x = 621,355,329
  5. Step 5: Solve for x
    x = 621,355,329/11,413
  6. Step 6: Final answer
    x = 54,442.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.