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Finding the Third Proportional to 4,215.50 and 6,545

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Solution

The third proportional to 4,215.50 and 6,545 is: 10,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.50 : 6,545 = 6,545 : x
  2. Step 2: Convert to fraction form
    4,215.50/6,545 = 6,545/x
  3. Step 3: Cross multiply
    4,215.50x = 6,545 × 6,545
  4. Step 4: Simplify right side
    4,215.50x = 42,837,025
  5. Step 5: Solve for x
    x = 42,837,025/4,215.50
  6. Step 6: Final answer
    x = 10,161.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.