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Finding the Third Proportional to 13,330 and 28,678

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Solution

The third proportional to 13,330 and 28,678 is: 61,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,330 : 28,678 = 28,678 : x
  2. Step 2: Convert to fraction form
    13,330/28,678 = 28,678/x
  3. Step 3: Cross multiply
    13,330x = 28,678 × 28,678
  4. Step 4: Simplify right side
    13,330x = 822,427,684
  5. Step 5: Solve for x
    x = 822,427,684/13,330
  6. Step 6: Final answer
    x = 61,697.50

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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.