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Finding the Third Proportional to 23,949 and 38,029.50

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Solution

The third proportional to 23,949 and 38,029.50 is: 60,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,949 : 38,029.50 = 38,029.50 : x
  2. Step 2: Convert to fraction form
    23,949/38,029.50 = 38,029.50/x
  3. Step 3: Cross multiply
    23,949x = 38,029.50 × 38,029.50
  4. Step 4: Simplify right side
    23,949x = 1,446,242,870.25
  5. Step 5: Solve for x
    x = 1,446,242,870.25/23,949
  6. Step 6: Final answer
    x = 60,388.45

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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.