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Finding the Third Proportional to 12,922 and 23,295

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Solution

The third proportional to 12,922 and 23,295 is: 41,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922 : 23,295 = 23,295 : x
  2. Step 2: Convert to fraction form
    12,922/23,295 = 23,295/x
  3. Step 3: Cross multiply
    12,922x = 23,295 × 23,295
  4. Step 4: Simplify right side
    12,922x = 542,657,025
  5. Step 5: Solve for x
    x = 542,657,025/12,922
  6. Step 6: Final answer
    x = 41,994.82

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.