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Finding the Third Proportional to 38,237 and 58,165.50

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Solution

The third proportional to 38,237 and 58,165.50 is: 88,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,237 : 58,165.50 = 58,165.50 : x
  2. Step 2: Convert to fraction form
    38,237/58,165.50 = 58,165.50/x
  3. Step 3: Cross multiply
    38,237x = 58,165.50 × 58,165.50
  4. Step 4: Simplify right side
    38,237x = 3,383,225,390.25
  5. Step 5: Solve for x
    x = 3,383,225,390.25/38,237
  6. Step 6: Final answer
    x = 88,480.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.