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Finding the Third Proportional to 38,169 and 58,141.50

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Solution

The third proportional to 38,169 and 58,141.50 is: 88,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,169 : 58,141.50 = 58,141.50 : x
  2. Step 2: Convert to fraction form
    38,169/58,141.50 = 58,141.50/x
  3. Step 3: Cross multiply
    38,169x = 58,141.50 × 58,141.50
  4. Step 4: Simplify right side
    38,169x = 3,380,434,022.25
  5. Step 5: Solve for x
    x = 3,380,434,022.25/38,169
  6. Step 6: Final answer
    x = 88,564.91

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