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Finding the Third Proportional to 39,762.56 and 85,752.56

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Solution

The third proportional to 39,762.56 and 85,752.56 is: 184,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,762.56 : 85,752.56 = 85,752.56 : x
  2. Step 2: Convert to fraction form
    39,762.56/85,752.56 = 85,752.56/x
  3. Step 3: Cross multiply
    39,762.56x = 85,752.56 × 85,752.56
  4. Step 4: Simplify right side
    39,762.56x = 7,353,501,975.32
  5. Step 5: Solve for x
    x = 7,353,501,975.32/39,762.56
  6. Step 6: Final answer
    x = 184,935.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.