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Finding the Third Proportional to 25,786 and 57,332

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Solution

The third proportional to 25,786 and 57,332 is: 127,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,786 : 57,332 = 57,332 : x
  2. Step 2: Convert to fraction form
    25,786/57,332 = 57,332/x
  3. Step 3: Cross multiply
    25,786x = 57,332 × 57,332
  4. Step 4: Simplify right side
    25,786x = 3,286,958,224
  5. Step 5: Solve for x
    x = 3,286,958,224/25,786
  6. Step 6: Final answer
    x = 127,470.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.