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Finding the Third Proportional to 25,425 and 54,495

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Solution

The third proportional to 25,425 and 54,495 is: 116,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425 : 54,495 = 54,495 : x
  2. Step 2: Convert to fraction form
    25,425/54,495 = 54,495/x
  3. Step 3: Cross multiply
    25,425x = 54,495 × 54,495
  4. Step 4: Simplify right side
    25,425x = 2,969,705,025
  5. Step 5: Solve for x
    x = 2,969,705,025/25,425
  6. Step 6: Final answer
    x = 116,802.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.