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Finding the Third Proportional to 4,185 and 8,604

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Solution

The third proportional to 4,185 and 8,604 is: 17,689.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185 : 8,604 = 8,604 : x
  2. Step 2: Convert to fraction form
    4,185/8,604 = 8,604/x
  3. Step 3: Cross multiply
    4,185x = 8,604 × 8,604
  4. Step 4: Simplify right side
    4,185x = 74,028,816
  5. Step 5: Solve for x
    x = 74,028,816/4,185
  6. Step 6: Final answer
    x = 17,689.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.