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Finding the Third Proportional to 23,284 and 51,724

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Solution

The third proportional to 23,284 and 51,724 is: 114,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284 : 51,724 = 51,724 : x
  2. Step 2: Convert to fraction form
    23,284/51,724 = 51,724/x
  3. Step 3: Cross multiply
    23,284x = 51,724 × 51,724
  4. Step 4: Simplify right side
    23,284x = 2,675,372,176
  5. Step 5: Solve for x
    x = 2,675,372,176/23,284
  6. Step 6: Final answer
    x = 114,901.74

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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.