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Finding the Third Proportional to 4,960 and 6,732.50

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Solution

The third proportional to 4,960 and 6,732.50 is: 9,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960 : 6,732.50 = 6,732.50 : x
  2. Step 2: Convert to fraction form
    4,960/6,732.50 = 6,732.50/x
  3. Step 3: Cross multiply
    4,960x = 6,732.50 × 6,732.50
  4. Step 4: Simplify right side
    4,960x = 45,326,556.25
  5. Step 5: Solve for x
    x = 45,326,556.25/4,960
  6. Step 6: Final answer
    x = 9,138.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.