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Finding the Third Proportional to 15,765 and 33,454

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Solution

The third proportional to 15,765 and 33,454 is: 70,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765 : 33,454 = 33,454 : x
  2. Step 2: Convert to fraction form
    15,765/33,454 = 33,454/x
  3. Step 3: Cross multiply
    15,765x = 33,454 × 33,454
  4. Step 4: Simplify right side
    15,765x = 1,119,170,116
  5. Step 5: Solve for x
    x = 1,119,170,116/15,765
  6. Step 6: Final answer
    x = 70,990.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.