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Finding the Third Proportional to 13,239 and 32,031

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Solution

The third proportional to 13,239 and 32,031 is: 77,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,239 : 32,031 = 32,031 : x
  2. Step 2: Convert to fraction form
    13,239/32,031 = 32,031/x
  3. Step 3: Cross multiply
    13,239x = 32,031 × 32,031
  4. Step 4: Simplify right side
    13,239x = 1,025,984,961
  5. Step 5: Solve for x
    x = 1,025,984,961/13,239
  6. Step 6: Final answer
    x = 77,497.16

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.