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Finding the Third Proportional to 25,876 and 59,732

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Solution

The third proportional to 25,876 and 59,732 is: 137,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876 : 59,732 = 59,732 : x
  2. Step 2: Convert to fraction form
    25,876/59,732 = 59,732/x
  3. Step 3: Cross multiply
    25,876x = 59,732 × 59,732
  4. Step 4: Simplify right side
    25,876x = 3,567,911,824
  5. Step 5: Solve for x
    x = 3,567,911,824/25,876
  6. Step 6: Final answer
    x = 137,884.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.