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Finding the Third Proportional to 9,186.75 and 13,712.63

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Solution

The third proportional to 9,186.75 and 13,712.63 is: 20,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.75 : 13,712.63 = 13,712.63 : x
  2. Step 2: Convert to fraction form
    9,186.75/13,712.63 = 13,712.63/x
  3. Step 3: Cross multiply
    9,186.75x = 13,712.63 × 13,712.63
  4. Step 4: Simplify right side
    9,186.75x = 188,036,084.39
  5. Step 5: Solve for x
    x = 188,036,084.39/9,186.75
  6. Step 6: Final answer
    x = 20,468.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.