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Finding the Third Proportional to 25,758 and 57,348

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Solution

The third proportional to 25,758 and 57,348 is: 127,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758 : 57,348 = 57,348 : x
  2. Step 2: Convert to fraction form
    25,758/57,348 = 57,348/x
  3. Step 3: Cross multiply
    25,758x = 57,348 × 57,348
  4. Step 4: Simplify right side
    25,758x = 3,288,793,104
  5. Step 5: Solve for x
    x = 3,288,793,104/25,758
  6. Step 6: Final answer
    x = 127,680.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.