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Finding the Third Proportional to 15,366 and 33,513

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Solution

The third proportional to 15,366 and 33,513 is: 73,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,366 : 33,513 = 33,513 : x
  2. Step 2: Convert to fraction form
    15,366/33,513 = 33,513/x
  3. Step 3: Cross multiply
    15,366x = 33,513 × 33,513
  4. Step 4: Simplify right side
    15,366x = 1,123,121,169
  5. Step 5: Solve for x
    x = 1,123,121,169/15,366
  6. Step 6: Final answer
    x = 73,091.32

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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.