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Finding the Third Proportional to 10,535 and 15,869

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Solution

The third proportional to 10,535 and 15,869 is: 23,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535 : 15,869 = 15,869 : x
  2. Step 2: Convert to fraction form
    10,535/15,869 = 15,869/x
  3. Step 3: Cross multiply
    10,535x = 15,869 × 15,869
  4. Step 4: Simplify right side
    10,535x = 251,825,161
  5. Step 5: Solve for x
    x = 251,825,161/10,535
  6. Step 6: Final answer
    x = 23,903.67

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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.