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Finding the Third Proportional to 21,342.75 and 23,256.75

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Solution

The third proportional to 21,342.75 and 23,256.75 is: 25,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342.75 : 23,256.75 = 23,256.75 : x
  2. Step 2: Convert to fraction form
    21,342.75/23,256.75 = 23,256.75/x
  3. Step 3: Cross multiply
    21,342.75x = 23,256.75 × 23,256.75
  4. Step 4: Simplify right side
    21,342.75x = 540,876,420.56
  5. Step 5: Solve for x
    x = 540,876,420.56/21,342.75
  6. Step 6: Final answer
    x = 25,342.40

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.