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Finding the Third Proportional to 15,424 and 33,457

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Solution

The third proportional to 15,424 and 33,457 is: 72,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,424 : 33,457 = 33,457 : x
  2. Step 2: Convert to fraction form
    15,424/33,457 = 33,457/x
  3. Step 3: Cross multiply
    15,424x = 33,457 × 33,457
  4. Step 4: Simplify right side
    15,424x = 1,119,370,849
  5. Step 5: Solve for x
    x = 1,119,370,849/15,424
  6. Step 6: Final answer
    x = 72,573.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.