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Finding the Third Proportional to 14,006.81 and 30,347.06

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Solution

The third proportional to 14,006.81 and 30,347.06 is: 65,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.81 : 30,347.06 = 30,347.06 : x
  2. Step 2: Convert to fraction form
    14,006.81/30,347.06 = 30,347.06/x
  3. Step 3: Cross multiply
    14,006.81x = 30,347.06 × 30,347.06
  4. Step 4: Simplify right side
    14,006.81x = 920,944,202.38
  5. Step 5: Solve for x
    x = 920,944,202.38/14,006.81
  6. Step 6: Final answer
    x = 65,749.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.