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Finding the Third Proportional to 9,786 and 14,743

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Solution

The third proportional to 9,786 and 14,743 is: 22,210.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786 : 14,743 = 14,743 : x
  2. Step 2: Convert to fraction form
    9,786/14,743 = 14,743/x
  3. Step 3: Cross multiply
    9,786x = 14,743 × 14,743
  4. Step 4: Simplify right side
    9,786x = 217,356,049
  5. Step 5: Solve for x
    x = 217,356,049/9,786
  6. Step 6: Final answer
    x = 22,210.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.