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Finding the Third Proportional to 9,600 and 13,712

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Solution

The third proportional to 9,600 and 13,712 is: 19,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600 : 13,712 = 13,712 : x
  2. Step 2: Convert to fraction form
    9,600/13,712 = 13,712/x
  3. Step 3: Cross multiply
    9,600x = 13,712 × 13,712
  4. Step 4: Simplify right side
    9,600x = 188,018,944
  5. Step 5: Solve for x
    x = 188,018,944/9,600
  6. Step 6: Final answer
    x = 19,585.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.