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Finding the Third Proportional to 12,322 and 26,840

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Solution

The third proportional to 12,322 and 26,840 is: 58,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322 : 26,840 = 26,840 : x
  2. Step 2: Convert to fraction form
    12,322/26,840 = 26,840/x
  3. Step 3: Cross multiply
    12,322x = 26,840 × 26,840
  4. Step 4: Simplify right side
    12,322x = 720,385,600
  5. Step 5: Solve for x
    x = 720,385,600/12,322
  6. Step 6: Final answer
    x = 58,463.37

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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.