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Finding the Third Proportional to 29,588 and 39,988

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Solution

The third proportional to 29,588 and 39,988 is: 54,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,588 : 39,988 = 39,988 : x
  2. Step 2: Convert to fraction form
    29,588/39,988 = 39,988/x
  3. Step 3: Cross multiply
    29,588x = 39,988 × 39,988
  4. Step 4: Simplify right side
    29,588x = 1,599,040,144
  5. Step 5: Solve for x
    x = 1,599,040,144/29,588
  6. Step 6: Final answer
    x = 54,043.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.