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Finding the Third Proportional to 25,497 and 38,976

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Solution

The third proportional to 25,497 and 38,976 is: 59,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497 : 38,976 = 38,976 : x
  2. Step 2: Convert to fraction form
    25,497/38,976 = 38,976/x
  3. Step 3: Cross multiply
    25,497x = 38,976 × 38,976
  4. Step 4: Simplify right side
    25,497x = 1,519,128,576
  5. Step 5: Solve for x
    x = 1,519,128,576/25,497
  6. Step 6: Final answer
    x = 59,580.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.