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Finding the Third Proportional to 14,031 and 30,516.75

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Solution

The third proportional to 14,031 and 30,516.75 is: 66,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031 : 30,516.75 = 30,516.75 : x
  2. Step 2: Convert to fraction form
    14,031/30,516.75 = 30,516.75/x
  3. Step 3: Cross multiply
    14,031x = 30,516.75 × 30,516.75
  4. Step 4: Simplify right side
    14,031x = 931,272,030.56
  5. Step 5: Solve for x
    x = 931,272,030.56/14,031
  6. Step 6: Final answer
    x = 66,372.46

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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.