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Finding the Third Proportional to 38,239.50 and 89,968

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Solution

The third proportional to 38,239.50 and 89,968 is: 211,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,239.50 : 89,968 = 89,968 : x
  2. Step 2: Convert to fraction form
    38,239.50/89,968 = 89,968/x
  3. Step 3: Cross multiply
    38,239.50x = 89,968 × 89,968
  4. Step 4: Simplify right side
    38,239.50x = 8,094,241,024
  5. Step 5: Solve for x
    x = 8,094,241,024/38,239.50
  6. Step 6: Final answer
    x = 211,672.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.