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Finding the Third Proportional to 21,242 and 29,716

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Solution

The third proportional to 21,242 and 29,716 is: 41,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242 : 29,716 = 29,716 : x
  2. Step 2: Convert to fraction form
    21,242/29,716 = 29,716/x
  3. Step 3: Cross multiply
    21,242x = 29,716 × 29,716
  4. Step 4: Simplify right side
    21,242x = 883,040,656
  5. Step 5: Solve for x
    x = 883,040,656/21,242
  6. Step 6: Final answer
    x = 41,570.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.