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Finding the Third Proportional to 31,527.28 and 65,975.63

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Solution

The third proportional to 31,527.28 and 65,975.63 is: 138,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527.28 : 65,975.63 = 65,975.63 : x
  2. Step 2: Convert to fraction form
    31,527.28/65,975.63 = 65,975.63/x
  3. Step 3: Cross multiply
    31,527.28x = 65,975.63 × 65,975.63
  4. Step 4: Simplify right side
    31,527.28x = 4,352,783,094.14
  5. Step 5: Solve for x
    x = 4,352,783,094.14/31,527.28
  6. Step 6: Final answer
    x = 138,064.02

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.