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Finding the Third Proportional to 12,107 and 26,205

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Solution

The third proportional to 12,107 and 26,205 is: 56,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107 : 26,205 = 26,205 : x
  2. Step 2: Convert to fraction form
    12,107/26,205 = 26,205/x
  3. Step 3: Cross multiply
    12,107x = 26,205 × 26,205
  4. Step 4: Simplify right side
    12,107x = 686,702,025
  5. Step 5: Solve for x
    x = 686,702,025/12,107
  6. Step 6: Final answer
    x = 56,719.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.