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Finding the Third Proportional to 14,326 and 30,710

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Solution

The third proportional to 14,326 and 30,710 is: 65,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326 : 30,710 = 30,710 : x
  2. Step 2: Convert to fraction form
    14,326/30,710 = 30,710/x
  3. Step 3: Cross multiply
    14,326x = 30,710 × 30,710
  4. Step 4: Simplify right side
    14,326x = 943,104,100
  5. Step 5: Solve for x
    x = 943,104,100/14,326
  6. Step 6: Final answer
    x = 65,831.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.