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Finding the Third Proportional to 15,426 and 33,615

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Solution

The third proportional to 15,426 and 33,615 is: 73,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,426 : 33,615 = 33,615 : x
  2. Step 2: Convert to fraction form
    15,426/33,615 = 33,615/x
  3. Step 3: Cross multiply
    15,426x = 33,615 × 33,615
  4. Step 4: Simplify right side
    15,426x = 1,129,968,225
  5. Step 5: Solve for x
    x = 1,129,968,225/15,426
  6. Step 6: Final answer
    x = 73,250.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.