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Finding the Third Proportional to 25,064 and 37,104

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Solution

The third proportional to 25,064 and 37,104 is: 54,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,064 : 37,104 = 37,104 : x
  2. Step 2: Convert to fraction form
    25,064/37,104 = 37,104/x
  3. Step 3: Cross multiply
    25,064x = 37,104 × 37,104
  4. Step 4: Simplify right side
    25,064x = 1,376,706,816
  5. Step 5: Solve for x
    x = 1,376,706,816/25,064
  6. Step 6: Final answer
    x = 54,927.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.