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Finding the Third Proportional to 4,615.50 and 7,212

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Solution

The third proportional to 4,615.50 and 7,212 is: 11,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.50 : 7,212 = 7,212 : x
  2. Step 2: Convert to fraction form
    4,615.50/7,212 = 7,212/x
  3. Step 3: Cross multiply
    4,615.50x = 7,212 × 7,212
  4. Step 4: Simplify right side
    4,615.50x = 52,012,944
  5. Step 5: Solve for x
    x = 52,012,944/4,615.50
  6. Step 6: Final answer
    x = 11,269.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.