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Finding the Third Proportional to 25,912 and 55,508

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Solution

The third proportional to 25,912 and 55,508 is: 118,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912 : 55,508 = 55,508 : x
  2. Step 2: Convert to fraction form
    25,912/55,508 = 55,508/x
  3. Step 3: Cross multiply
    25,912x = 55,508 × 55,508
  4. Step 4: Simplify right side
    25,912x = 3,081,138,064
  5. Step 5: Solve for x
    x = 3,081,138,064/25,912
  6. Step 6: Final answer
    x = 118,907.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.