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Finding the Third Proportional to 21,462 and 44,886

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Solution

The third proportional to 21,462 and 44,886 is: 93,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462 : 44,886 = 44,886 : x
  2. Step 2: Convert to fraction form
    21,462/44,886 = 44,886/x
  3. Step 3: Cross multiply
    21,462x = 44,886 × 44,886
  4. Step 4: Simplify right side
    21,462x = 2,014,752,996
  5. Step 5: Solve for x
    x = 2,014,752,996/21,462
  6. Step 6: Final answer
    x = 93,875.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.