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Finding the Third Proportional to 10,164.75 and 15,645.75

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Solution

The third proportional to 10,164.75 and 15,645.75 is: 24,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.75 : 15,645.75 = 15,645.75 : x
  2. Step 2: Convert to fraction form
    10,164.75/15,645.75 = 15,645.75/x
  3. Step 3: Cross multiply
    10,164.75x = 15,645.75 × 15,645.75
  4. Step 4: Simplify right side
    10,164.75x = 244,789,493.06
  5. Step 5: Solve for x
    x = 244,789,493.06/10,164.75
  6. Step 6: Final answer
    x = 24,082.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.