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Finding the Third Proportional to 24,966 and 53,009

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Solution

The third proportional to 24,966 and 53,009 is: 112,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,966 : 53,009 = 53,009 : x
  2. Step 2: Convert to fraction form
    24,966/53,009 = 53,009/x
  3. Step 3: Cross multiply
    24,966x = 53,009 × 53,009
  4. Step 4: Simplify right side
    24,966x = 2,809,954,081
  5. Step 5: Solve for x
    x = 2,809,954,081/24,966
  6. Step 6: Final answer
    x = 112,551.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.