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Finding the Third Proportional to 12,825 and 26,289

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Solution

The third proportional to 12,825 and 26,289 is: 53,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825 : 26,289 = 26,289 : x
  2. Step 2: Convert to fraction form
    12,825/26,289 = 26,289/x
  3. Step 3: Cross multiply
    12,825x = 26,289 × 26,289
  4. Step 4: Simplify right side
    12,825x = 691,111,521
  5. Step 5: Solve for x
    x = 691,111,521/12,825
  6. Step 6: Final answer
    x = 53,887.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.