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Finding the Third Proportional to 21,461 and 44,883

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Solution

The third proportional to 21,461 and 44,883 is: 93,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461 : 44,883 = 44,883 : x
  2. Step 2: Convert to fraction form
    21,461/44,883 = 44,883/x
  3. Step 3: Cross multiply
    21,461x = 44,883 × 44,883
  4. Step 4: Simplify right side
    21,461x = 2,014,483,689
  5. Step 5: Solve for x
    x = 2,014,483,689/21,461
  6. Step 6: Final answer
    x = 93,867.19

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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.