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Finding the Third Proportional to 15,660 and 35,454

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Solution

The third proportional to 15,660 and 35,454 is: 80,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,660 : 35,454 = 35,454 : x
  2. Step 2: Convert to fraction form
    15,660/35,454 = 35,454/x
  3. Step 3: Cross multiply
    15,660x = 35,454 × 35,454
  4. Step 4: Simplify right side
    15,660x = 1,256,986,116
  5. Step 5: Solve for x
    x = 1,256,986,116/15,660
  6. Step 6: Final answer
    x = 80,267.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.