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Finding the Third Proportional to 12,416 and 26,109

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Solution

The third proportional to 12,416 and 26,109 is: 54,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416 : 26,109 = 26,109 : x
  2. Step 2: Convert to fraction form
    12,416/26,109 = 26,109/x
  3. Step 3: Cross multiply
    12,416x = 26,109 × 26,109
  4. Step 4: Simplify right side
    12,416x = 681,679,881
  5. Step 5: Solve for x
    x = 681,679,881/12,416
  6. Step 6: Final answer
    x = 54,903.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.