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Finding the Third Proportional to 12,323 and 26,842

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Solution

The third proportional to 12,323 and 26,842 is: 58,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323 : 26,842 = 26,842 : x
  2. Step 2: Convert to fraction form
    12,323/26,842 = 26,842/x
  3. Step 3: Cross multiply
    12,323x = 26,842 × 26,842
  4. Step 4: Simplify right side
    12,323x = 720,492,964
  5. Step 5: Solve for x
    x = 720,492,964/12,323
  6. Step 6: Final answer
    x = 58,467.33

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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.