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Finding the Third Proportional to 25,760 and 57,352

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Solution

The third proportional to 25,760 and 57,352 is: 127,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760 : 57,352 = 57,352 : x
  2. Step 2: Convert to fraction form
    25,760/57,352 = 57,352/x
  3. Step 3: Cross multiply
    25,760x = 57,352 × 57,352
  4. Step 4: Simplify right side
    25,760x = 3,289,251,904
  5. Step 5: Solve for x
    x = 3,289,251,904/25,760
  6. Step 6: Final answer
    x = 127,688.35

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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.