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Finding the Third Proportional to 10,540.13 and 16,427.81

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Solution

The third proportional to 10,540.13 and 16,427.81 is: 25,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.13 : 16,427.81 = 16,427.81 : x
  2. Step 2: Convert to fraction form
    10,540.13/16,427.81 = 16,427.81/x
  3. Step 3: Cross multiply
    10,540.13x = 16,427.81 × 16,427.81
  4. Step 4: Simplify right side
    10,540.13x = 269,873,023.54
  5. Step 5: Solve for x
    x = 269,873,023.54/10,540.13
  6. Step 6: Final answer
    x = 25,604.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.