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Finding the Third Proportional to 25,480 and 51,635

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Solution

The third proportional to 25,480 and 51,635 is: 104,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,480 : 51,635 = 51,635 : x
  2. Step 2: Convert to fraction form
    25,480/51,635 = 51,635/x
  3. Step 3: Cross multiply
    25,480x = 51,635 × 51,635
  4. Step 4: Simplify right side
    25,480x = 2,666,173,225
  5. Step 5: Solve for x
    x = 2,666,173,225/25,480
  6. Step 6: Final answer
    x = 104,637.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.