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Finding the Third Proportional to 25,890 and 55,515

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Solution

The third proportional to 25,890 and 55,515 is: 119,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,890 : 55,515 = 55,515 : x
  2. Step 2: Convert to fraction form
    25,890/55,515 = 55,515/x
  3. Step 3: Cross multiply
    25,890x = 55,515 × 55,515
  4. Step 4: Simplify right side
    25,890x = 3,081,915,225
  5. Step 5: Solve for x
    x = 3,081,915,225/25,890
  6. Step 6: Final answer
    x = 119,038.83

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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.