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Finding the Third Proportional to 8,185 and 12,597

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Solution

The third proportional to 8,185 and 12,597 is: 19,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185 : 12,597 = 12,597 : x
  2. Step 2: Convert to fraction form
    8,185/12,597 = 12,597/x
  3. Step 3: Cross multiply
    8,185x = 12,597 × 12,597
  4. Step 4: Simplify right side
    8,185x = 158,684,409
  5. Step 5: Solve for x
    x = 158,684,409/8,185
  6. Step 6: Final answer
    x = 19,387.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.