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Finding the Third Proportional to 14,386.36 and 30,771.14

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Solution

The third proportional to 14,386.36 and 30,771.14 is: 65,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.36 : 30,771.14 = 30,771.14 : x
  2. Step 2: Convert to fraction form
    14,386.36/30,771.14 = 30,771.14/x
  3. Step 3: Cross multiply
    14,386.36x = 30,771.14 × 30,771.14
  4. Step 4: Simplify right side
    14,386.36x = 946,863,095.36
  5. Step 5: Solve for x
    x = 946,863,095.36/14,386.36
  6. Step 6: Final answer
    x = 65,816.73

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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.