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Finding the Third Proportional to 14,130 and 30,485.25

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Solution

The third proportional to 14,130 and 30,485.25 is: 65,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130 : 30,485.25 = 30,485.25 : x
  2. Step 2: Convert to fraction form
    14,130/30,485.25 = 30,485.25/x
  3. Step 3: Cross multiply
    14,130x = 30,485.25 × 30,485.25
  4. Step 4: Simplify right side
    14,130x = 929,350,467.56
  5. Step 5: Solve for x
    x = 929,350,467.56/14,130
  6. Step 6: Final answer
    x = 65,771.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.