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Finding the Third Proportional to 31,541.75 and 66,637.75

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Solution

The third proportional to 31,541.75 and 66,637.75 is: 140,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,541.75 : 66,637.75 = 66,637.75 : x
  2. Step 2: Convert to fraction form
    31,541.75/66,637.75 = 66,637.75/x
  3. Step 3: Cross multiply
    31,541.75x = 66,637.75 × 66,637.75
  4. Step 4: Simplify right side
    31,541.75x = 4,440,589,725.06
  5. Step 5: Solve for x
    x = 4,440,589,725.06/31,541.75
  6. Step 6: Final answer
    x = 140,784.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.