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Finding the Third Proportional to 5,186 and 9,637

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Solution

The third proportional to 5,186 and 9,637 is: 17,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186 : 9,637 = 9,637 : x
  2. Step 2: Convert to fraction form
    5,186/9,637 = 9,637/x
  3. Step 3: Cross multiply
    5,186x = 9,637 × 9,637
  4. Step 4: Simplify right side
    5,186x = 92,871,769
  5. Step 5: Solve for x
    x = 92,871,769/5,186
  6. Step 6: Final answer
    x = 17,908.17

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.