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Finding the Third Proportional to 7,096 and 15,435

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Solution

The third proportional to 7,096 and 15,435 is: 33,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096 : 15,435 = 15,435 : x
  2. Step 2: Convert to fraction form
    7,096/15,435 = 15,435/x
  3. Step 3: Cross multiply
    7,096x = 15,435 × 15,435
  4. Step 4: Simplify right side
    7,096x = 238,239,225
  5. Step 5: Solve for x
    x = 238,239,225/7,096
  6. Step 6: Final answer
    x = 33,573.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.