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Finding the Third Proportional to 11,426 and 26,477

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Solution

The third proportional to 11,426 and 26,477 is: 61,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426 : 26,477 = 26,477 : x
  2. Step 2: Convert to fraction form
    11,426/26,477 = 26,477/x
  3. Step 3: Cross multiply
    11,426x = 26,477 × 26,477
  4. Step 4: Simplify right side
    11,426x = 701,031,529
  5. Step 5: Solve for x
    x = 701,031,529/11,426
  6. Step 6: Final answer
    x = 61,354.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.