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Finding the Third Proportional to 31,525.88 and 65,724.75

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Solution

The third proportional to 31,525.88 and 65,724.75 is: 137,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525.88 : 65,724.75 = 65,724.75 : x
  2. Step 2: Convert to fraction form
    31,525.88/65,724.75 = 65,724.75/x
  3. Step 3: Cross multiply
    31,525.88x = 65,724.75 × 65,724.75
  4. Step 4: Simplify right side
    31,525.88x = 4,319,742,762.56
  5. Step 5: Solve for x
    x = 4,319,742,762.56/31,525.88
  6. Step 6: Final answer
    x = 137,022.14

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.