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Finding the Third Proportional to 18,752 and 29,031

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Solution

The third proportional to 18,752 and 29,031 is: 44,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,752 : 29,031 = 29,031 : x
  2. Step 2: Convert to fraction form
    18,752/29,031 = 29,031/x
  3. Step 3: Cross multiply
    18,752x = 29,031 × 29,031
  4. Step 4: Simplify right side
    18,752x = 842,798,961
  5. Step 5: Solve for x
    x = 842,798,961/18,752
  6. Step 6: Final answer
    x = 44,944.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.