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Finding the Third Proportional to 25,043.50 and 39,001

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Solution

The third proportional to 25,043.50 and 39,001 is: 60,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,043.50 : 39,001 = 39,001 : x
  2. Step 2: Convert to fraction form
    25,043.50/39,001 = 39,001/x
  3. Step 3: Cross multiply
    25,043.50x = 39,001 × 39,001
  4. Step 4: Simplify right side
    25,043.50x = 1,521,078,001
  5. Step 5: Solve for x
    x = 1,521,078,001/25,043.50
  6. Step 6: Final answer
    x = 60,737.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.