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Finding the Third Proportional to 31,832.63 and 70,020.75

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Solution

The third proportional to 31,832.63 and 70,020.75 is: 154,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.63 : 70,020.75 = 70,020.75 : x
  2. Step 2: Convert to fraction form
    31,832.63/70,020.75 = 70,020.75/x
  3. Step 3: Cross multiply
    31,832.63x = 70,020.75 × 70,020.75
  4. Step 4: Simplify right side
    31,832.63x = 4,902,905,430.56
  5. Step 5: Solve for x
    x = 4,902,905,430.56/31,832.63
  6. Step 6: Final answer
    x = 154,021.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.