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Finding the Third Proportional to 15,302 and 33,516

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Solution

The third proportional to 15,302 and 33,516 is: 73,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,302 : 33,516 = 33,516 : x
  2. Step 2: Convert to fraction form
    15,302/33,516 = 33,516/x
  3. Step 3: Cross multiply
    15,302x = 33,516 × 33,516
  4. Step 4: Simplify right side
    15,302x = 1,123,322,256
  5. Step 5: Solve for x
    x = 1,123,322,256/15,302
  6. Step 6: Final answer
    x = 73,410.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.