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Finding the Third Proportional to 10,716.75 and 14,829.75

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Solution

The third proportional to 10,716.75 and 14,829.75 is: 20,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.75 : 14,829.75 = 14,829.75 : x
  2. Step 2: Convert to fraction form
    10,716.75/14,829.75 = 14,829.75/x
  3. Step 3: Cross multiply
    10,716.75x = 14,829.75 × 14,829.75
  4. Step 4: Simplify right side
    10,716.75x = 219,921,485.06
  5. Step 5: Solve for x
    x = 219,921,485.06/10,716.75
  6. Step 6: Final answer
    x = 20,521.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.