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Finding the Third Proportional to 26,488 and 55,153

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Solution

The third proportional to 26,488 and 55,153 is: 114,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,488 : 55,153 = 55,153 : x
  2. Step 2: Convert to fraction form
    26,488/55,153 = 55,153/x
  3. Step 3: Cross multiply
    26,488x = 55,153 × 55,153
  4. Step 4: Simplify right side
    26,488x = 3,041,853,409
  5. Step 5: Solve for x
    x = 3,041,853,409/26,488
  6. Step 6: Final answer
    x = 114,838.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.