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Finding the Third Proportional to 9,712 and 13,672

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Solution

The third proportional to 9,712 and 13,672 is: 19,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 13,672 = 13,672 : x
  2. Step 2: Convert to fraction form
    9,712/13,672 = 13,672/x
  3. Step 3: Cross multiply
    9,712x = 13,672 × 13,672
  4. Step 4: Simplify right side
    9,712x = 186,923,584
  5. Step 5: Solve for x
    x = 186,923,584/9,712
  6. Step 6: Final answer
    x = 19,246.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.