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Finding the Third Proportional to 25,064 and 54,448

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Solution

The third proportional to 25,064 and 54,448 is: 118,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,064 : 54,448 = 54,448 : x
  2. Step 2: Convert to fraction form
    25,064/54,448 = 54,448/x
  3. Step 3: Cross multiply
    25,064x = 54,448 × 54,448
  4. Step 4: Simplify right side
    25,064x = 2,964,584,704
  5. Step 5: Solve for x
    x = 2,964,584,704/25,064
  6. Step 6: Final answer
    x = 118,280.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.