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Finding the Third Proportional to 5,294 and 7,435

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Solution

The third proportional to 5,294 and 7,435 is: 10,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294 : 7,435 = 7,435 : x
  2. Step 2: Convert to fraction form
    5,294/7,435 = 7,435/x
  3. Step 3: Cross multiply
    5,294x = 7,435 × 7,435
  4. Step 4: Simplify right side
    5,294x = 55,279,225
  5. Step 5: Solve for x
    x = 55,279,225/5,294
  6. Step 6: Final answer
    x = 10,441.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.