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Finding the Third Proportional to 15,916 and 33,937

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Solution

The third proportional to 15,916 and 33,937 is: 72,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916 : 33,937 = 33,937 : x
  2. Step 2: Convert to fraction form
    15,916/33,937 = 33,937/x
  3. Step 3: Cross multiply
    15,916x = 33,937 × 33,937
  4. Step 4: Simplify right side
    15,916x = 1,151,719,969
  5. Step 5: Solve for x
    x = 1,151,719,969/15,916
  6. Step 6: Final answer
    x = 72,362.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.