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Finding the Third Proportional to 25,277 and 53,830

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Solution

The third proportional to 25,277 and 53,830 is: 114,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,277 : 53,830 = 53,830 : x
  2. Step 2: Convert to fraction form
    25,277/53,830 = 53,830/x
  3. Step 3: Cross multiply
    25,277x = 53,830 × 53,830
  4. Step 4: Simplify right side
    25,277x = 2,897,668,900
  5. Step 5: Solve for x
    x = 2,897,668,900/25,277
  6. Step 6: Final answer
    x = 114,636.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.