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Finding the Third Proportional to 36,905.63 and 57,665.04

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Solution

The third proportional to 36,905.63 and 57,665.04 is: 90,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,905.63 : 57,665.04 = 57,665.04 : x
  2. Step 2: Convert to fraction form
    36,905.63/57,665.04 = 57,665.04/x
  3. Step 3: Cross multiply
    36,905.63x = 57,665.04 × 57,665.04
  4. Step 4: Simplify right side
    36,905.63x = 3,325,256,730.08
  5. Step 5: Solve for x
    x = 3,325,256,730.08/36,905.63
  6. Step 6: Final answer
    x = 90,101.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.