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Finding the Third Proportional to 13,403 and 29,245

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Solution

The third proportional to 13,403 and 29,245 is: 63,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403 : 29,245 = 29,245 : x
  2. Step 2: Convert to fraction form
    13,403/29,245 = 29,245/x
  3. Step 3: Cross multiply
    13,403x = 29,245 × 29,245
  4. Step 4: Simplify right side
    13,403x = 855,270,025
  5. Step 5: Solve for x
    x = 855,270,025/13,403
  6. Step 6: Final answer
    x = 63,811.84

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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.