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Finding the Third Proportional to 23,431.75 and 34,273.75

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Solution

The third proportional to 23,431.75 and 34,273.75 is: 50,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431.75 : 34,273.75 = 34,273.75 : x
  2. Step 2: Convert to fraction form
    23,431.75/34,273.75 = 34,273.75/x
  3. Step 3: Cross multiply
    23,431.75x = 34,273.75 × 34,273.75
  4. Step 4: Simplify right side
    23,431.75x = 1,174,689,939.06
  5. Step 5: Solve for x
    x = 1,174,689,939.06/23,431.75
  6. Step 6: Final answer
    x = 50,132.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.