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Finding the Third Proportional to 15,456 and 35,724

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Solution

The third proportional to 15,456 and 35,724 is: 82,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456 : 35,724 = 35,724 : x
  2. Step 2: Convert to fraction form
    15,456/35,724 = 35,724/x
  3. Step 3: Cross multiply
    15,456x = 35,724 × 35,724
  4. Step 4: Simplify right side
    15,456x = 1,276,204,176
  5. Step 5: Solve for x
    x = 1,276,204,176/15,456
  6. Step 6: Final answer
    x = 82,570.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.