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Finding the Third Proportional to 25,031 and 54,342

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Solution

The third proportional to 25,031 and 54,342 is: 117,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,031 : 54,342 = 54,342 : x
  2. Step 2: Convert to fraction form
    25,031/54,342 = 54,342/x
  3. Step 3: Cross multiply
    25,031x = 54,342 × 54,342
  4. Step 4: Simplify right side
    25,031x = 2,953,052,964
  5. Step 5: Solve for x
    x = 2,953,052,964/25,031
  6. Step 6: Final answer
    x = 117,975.83

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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.