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Finding the Third Proportional to 10,023 and 21,652

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Solution

The third proportional to 10,023 and 21,652 is: 46,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023 : 21,652 = 21,652 : x
  2. Step 2: Convert to fraction form
    10,023/21,652 = 21,652/x
  3. Step 3: Cross multiply
    10,023x = 21,652 × 21,652
  4. Step 4: Simplify right side
    10,023x = 468,809,104
  5. Step 5: Solve for x
    x = 468,809,104/10,023
  6. Step 6: Final answer
    x = 46,773.33

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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.