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Finding the Third Proportional to 23,085 and 30,921.75

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Solution

The third proportional to 23,085 and 30,921.75 is: 41,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085 : 30,921.75 = 30,921.75 : x
  2. Step 2: Convert to fraction form
    23,085/30,921.75 = 30,921.75/x
  3. Step 3: Cross multiply
    23,085x = 30,921.75 × 30,921.75
  4. Step 4: Simplify right side
    23,085x = 956,154,623.06
  5. Step 5: Solve for x
    x = 956,154,623.06/23,085
  6. Step 6: Final answer
    x = 41,418.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.