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Finding the Third Proportional to 40,012.59 and 85,955.91

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Solution

The third proportional to 40,012.59 and 85,955.91 is: 184,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,012.59 : 85,955.91 = 85,955.91 : x
  2. Step 2: Convert to fraction form
    40,012.59/85,955.91 = 85,955.91/x
  3. Step 3: Cross multiply
    40,012.59x = 85,955.91 × 85,955.91
  4. Step 4: Simplify right side
    40,012.59x = 7,388,417,819.26
  5. Step 5: Solve for x
    x = 7,388,417,819.26/40,012.59
  6. Step 6: Final answer
    x = 184,652.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.