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Finding the Third Proportional to 15,916 and 34,020

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Solution

The third proportional to 15,916 and 34,020 is: 72,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916 : 34,020 = 34,020 : x
  2. Step 2: Convert to fraction form
    15,916/34,020 = 34,020/x
  3. Step 3: Cross multiply
    15,916x = 34,020 × 34,020
  4. Step 4: Simplify right side
    15,916x = 1,157,360,400
  5. Step 5: Solve for x
    x = 1,157,360,400/15,916
  6. Step 6: Final answer
    x = 72,716.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.