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Finding the Third Proportional to 25,396 and 53,900

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Solution

The third proportional to 25,396 and 53,900 is: 114,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,396 : 53,900 = 53,900 : x
  2. Step 2: Convert to fraction form
    25,396/53,900 = 53,900/x
  3. Step 3: Cross multiply
    25,396x = 53,900 × 53,900
  4. Step 4: Simplify right side
    25,396x = 2,905,210,000
  5. Step 5: Solve for x
    x = 2,905,210,000/25,396
  6. Step 6: Final answer
    x = 114,396.36

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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.