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Finding the Third Proportional to 14,146 and 33,031

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Solution

The third proportional to 14,146 and 33,031 is: 77,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146 : 33,031 = 33,031 : x
  2. Step 2: Convert to fraction form
    14,146/33,031 = 33,031/x
  3. Step 3: Cross multiply
    14,146x = 33,031 × 33,031
  4. Step 4: Simplify right side
    14,146x = 1,091,046,961
  5. Step 5: Solve for x
    x = 1,091,046,961/14,146
  6. Step 6: Final answer
    x = 77,127.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.