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Finding the Third Proportional to 15,141.75 and 35,367

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Solution

The third proportional to 15,141.75 and 35,367 is: 82,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141.75 : 35,367 = 35,367 : x
  2. Step 2: Convert to fraction form
    15,141.75/35,367 = 35,367/x
  3. Step 3: Cross multiply
    15,141.75x = 35,367 × 35,367
  4. Step 4: Simplify right side
    15,141.75x = 1,250,824,689
  5. Step 5: Solve for x
    x = 1,250,824,689/15,141.75
  6. Step 6: Final answer
    x = 82,607.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.