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Finding the Third Proportional to 11,506 and 26,885

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Solution

The third proportional to 11,506 and 26,885 is: 62,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506 : 26,885 = 26,885 : x
  2. Step 2: Convert to fraction form
    11,506/26,885 = 26,885/x
  3. Step 3: Cross multiply
    11,506x = 26,885 × 26,885
  4. Step 4: Simplify right side
    11,506x = 722,803,225
  5. Step 5: Solve for x
    x = 722,803,225/11,506
  6. Step 6: Final answer
    x = 62,819.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.