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Finding the Third Proportional to 13,380 and 28,830

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Solution

The third proportional to 13,380 and 28,830 is: 62,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380 : 28,830 = 28,830 : x
  2. Step 2: Convert to fraction form
    13,380/28,830 = 28,830/x
  3. Step 3: Cross multiply
    13,380x = 28,830 × 28,830
  4. Step 4: Simplify right side
    13,380x = 831,168,900
  5. Step 5: Solve for x
    x = 831,168,900/13,380
  6. Step 6: Final answer
    x = 62,120.25

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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.