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Finding the Third Proportional to 31,573.13 and 68,505.75

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Solution

The third proportional to 31,573.13 and 68,505.75 is: 148,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573.13 : 68,505.75 = 68,505.75 : x
  2. Step 2: Convert to fraction form
    31,573.13/68,505.75 = 68,505.75/x
  3. Step 3: Cross multiply
    31,573.13x = 68,505.75 × 68,505.75
  4. Step 4: Simplify right side
    31,573.13x = 4,693,037,783.06
  5. Step 5: Solve for x
    x = 4,693,037,783.06/31,573.13
  6. Step 6: Final answer
    x = 148,640.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.