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Finding the Third Proportional to 9,600 and 14,810

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Solution

The third proportional to 9,600 and 14,810 is: 22,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600 : 14,810 = 14,810 : x
  2. Step 2: Convert to fraction form
    9,600/14,810 = 14,810/x
  3. Step 3: Cross multiply
    9,600x = 14,810 × 14,810
  4. Step 4: Simplify right side
    9,600x = 219,336,100
  5. Step 5: Solve for x
    x = 219,336,100/9,600
  6. Step 6: Final answer
    x = 22,847.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.