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Finding the Third Proportional to 38,232 and 89,951.63

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Solution

The third proportional to 38,232 and 89,951.63 is: 211,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,232 : 89,951.63 = 89,951.63 : x
  2. Step 2: Convert to fraction form
    38,232/89,951.63 = 89,951.63/x
  3. Step 3: Cross multiply
    38,232x = 89,951.63 × 89,951.63
  4. Step 4: Simplify right side
    38,232x = 8,091,294,840.14
  5. Step 5: Solve for x
    x = 8,091,294,840.14/38,232
  6. Step 6: Final answer
    x = 211,636.71

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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.