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Finding the Third Proportional to 15,955 and 35,126

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Solution

The third proportional to 15,955 and 35,126 is: 77,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,955 : 35,126 = 35,126 : x
  2. Step 2: Convert to fraction form
    15,955/35,126 = 35,126/x
  3. Step 3: Cross multiply
    15,955x = 35,126 × 35,126
  4. Step 4: Simplify right side
    15,955x = 1,233,835,876
  5. Step 5: Solve for x
    x = 1,233,835,876/15,955
  6. Step 6: Final answer
    x = 77,332.24

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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.