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Finding the Third Proportional to 23,606 and 51,342

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Solution

The third proportional to 23,606 and 51,342 is: 111,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,606 : 51,342 = 51,342 : x
  2. Step 2: Convert to fraction form
    23,606/51,342 = 51,342/x
  3. Step 3: Cross multiply
    23,606x = 51,342 × 51,342
  4. Step 4: Simplify right side
    23,606x = 2,636,000,964
  5. Step 5: Solve for x
    x = 2,636,000,964/23,606
  6. Step 6: Final answer
    x = 111,666.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.