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Finding the Third Proportional to 25,344 and 34,128

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Solution

The third proportional to 25,344 and 34,128 is: 45,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344 : 34,128 = 34,128 : x
  2. Step 2: Convert to fraction form
    25,344/34,128 = 34,128/x
  3. Step 3: Cross multiply
    25,344x = 34,128 × 34,128
  4. Step 4: Simplify right side
    25,344x = 1,164,720,384
  5. Step 5: Solve for x
    x = 1,164,720,384/25,344
  6. Step 6: Final answer
    x = 45,956.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.