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Finding the Third Proportional to 14,243.91 and 29,399.06

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Solution

The third proportional to 14,243.91 and 29,399.06 is: 60,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.91 : 29,399.06 = 29,399.06 : x
  2. Step 2: Convert to fraction form
    14,243.91/29,399.06 = 29,399.06/x
  3. Step 3: Cross multiply
    14,243.91x = 29,399.06 × 29,399.06
  4. Step 4: Simplify right side
    14,243.91x = 864,304,875.88
  5. Step 5: Solve for x
    x = 864,304,875.88/14,243.91
  6. Step 6: Final answer
    x = 60,678.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.