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Finding the Third Proportional to 38,043 and 60,588

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Solution

The third proportional to 38,043 and 60,588 is: 96,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,043 : 60,588 = 60,588 : x
  2. Step 2: Convert to fraction form
    38,043/60,588 = 60,588/x
  3. Step 3: Cross multiply
    38,043x = 60,588 × 60,588
  4. Step 4: Simplify right side
    38,043x = 3,670,905,744
  5. Step 5: Solve for x
    x = 3,670,905,744/38,043
  6. Step 6: Final answer
    x = 96,493.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.