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Finding the Third Proportional to 25,064 and 52,912

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Solution

The third proportional to 25,064 and 52,912 is: 111,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,064 : 52,912 = 52,912 : x
  2. Step 2: Convert to fraction form
    25,064/52,912 = 52,912/x
  3. Step 3: Cross multiply
    25,064x = 52,912 × 52,912
  4. Step 4: Simplify right side
    25,064x = 2,799,679,744
  5. Step 5: Solve for x
    x = 2,799,679,744/25,064
  6. Step 6: Final answer
    x = 111,701.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.