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Finding the Third Proportional to 26,560 and 55,664

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Solution

The third proportional to 26,560 and 55,664 is: 116,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,560 : 55,664 = 55,664 : x
  2. Step 2: Convert to fraction form
    26,560/55,664 = 55,664/x
  3. Step 3: Cross multiply
    26,560x = 55,664 × 55,664
  4. Step 4: Simplify right side
    26,560x = 3,098,480,896
  5. Step 5: Solve for x
    x = 3,098,480,896/26,560
  6. Step 6: Final answer
    x = 116,659.67

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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.