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Finding the Third Proportional to 14,130 and 31,052.25

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Solution

The third proportional to 14,130 and 31,052.25 is: 68,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130 : 31,052.25 = 31,052.25 : x
  2. Step 2: Convert to fraction form
    14,130/31,052.25 = 31,052.25/x
  3. Step 3: Cross multiply
    14,130x = 31,052.25 × 31,052.25
  4. Step 4: Simplify right side
    14,130x = 964,242,230.06
  5. Step 5: Solve for x
    x = 964,242,230.06/14,130
  6. Step 6: Final answer
    x = 68,240.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.