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Finding the Third Proportional to 23,145.75 and 35,043.75

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Solution

The third proportional to 23,145.75 and 35,043.75 is: 53,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.75 : 35,043.75 = 35,043.75 : x
  2. Step 2: Convert to fraction form
    23,145.75/35,043.75 = 35,043.75/x
  3. Step 3: Cross multiply
    23,145.75x = 35,043.75 × 35,043.75
  4. Step 4: Simplify right side
    23,145.75x = 1,228,064,414.06
  5. Step 5: Solve for x
    x = 1,228,064,414.06/23,145.75
  6. Step 6: Final answer
    x = 53,057.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.