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Finding the Third Proportional to 13,354 and 28,670

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Solution

The third proportional to 13,354 and 28,670 is: 61,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354 : 28,670 = 28,670 : x
  2. Step 2: Convert to fraction form
    13,354/28,670 = 28,670/x
  3. Step 3: Cross multiply
    13,354x = 28,670 × 28,670
  4. Step 4: Simplify right side
    13,354x = 821,968,900
  5. Step 5: Solve for x
    x = 821,968,900/13,354
  6. Step 6: Final answer
    x = 61,552.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.