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Finding the Third Proportional to 15,966 and 35,071

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Solution

The third proportional to 15,966 and 35,071 is: 77,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966 : 35,071 = 35,071 : x
  2. Step 2: Convert to fraction form
    15,966/35,071 = 35,071/x
  3. Step 3: Cross multiply
    15,966x = 35,071 × 35,071
  4. Step 4: Simplify right side
    15,966x = 1,229,975,041
  5. Step 5: Solve for x
    x = 1,229,975,041/15,966
  6. Step 6: Final answer
    x = 77,037.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.