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Finding the Third Proportional to 15,914 and 35,122

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Solution

The third proportional to 15,914 and 35,122 is: 77,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914 : 35,122 = 35,122 : x
  2. Step 2: Convert to fraction form
    15,914/35,122 = 35,122/x
  3. Step 3: Cross multiply
    15,914x = 35,122 × 35,122
  4. Step 4: Simplify right side
    15,914x = 1,233,554,884
  5. Step 5: Solve for x
    x = 1,233,554,884/15,914
  6. Step 6: Final answer
    x = 77,513.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.