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Finding the Third Proportional to 23,574 and 51,314

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Solution

The third proportional to 23,574 and 51,314 is: 111,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574 : 51,314 = 51,314 : x
  2. Step 2: Convert to fraction form
    23,574/51,314 = 51,314/x
  3. Step 3: Cross multiply
    23,574x = 51,314 × 51,314
  4. Step 4: Simplify right side
    23,574x = 2,633,126,596
  5. Step 5: Solve for x
    x = 2,633,126,596/23,574
  6. Step 6: Final answer
    x = 111,696.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.