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Finding the Third Proportional to 26,498 and 56,155

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Solution

The third proportional to 26,498 and 56,155 is: 119,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498 : 56,155 = 56,155 : x
  2. Step 2: Convert to fraction form
    26,498/56,155 = 56,155/x
  3. Step 3: Cross multiply
    26,498x = 56,155 × 56,155
  4. Step 4: Simplify right side
    26,498x = 3,153,384,025
  5. Step 5: Solve for x
    x = 3,153,384,025/26,498
  6. Step 6: Final answer
    x = 119,004.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.