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Finding the Third Proportional to 14,020 and 18,789

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Solution

The third proportional to 14,020 and 18,789 is: 25,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020 : 18,789 = 18,789 : x
  2. Step 2: Convert to fraction form
    14,020/18,789 = 18,789/x
  3. Step 3: Cross multiply
    14,020x = 18,789 × 18,789
  4. Step 4: Simplify right side
    14,020x = 353,026,521
  5. Step 5: Solve for x
    x = 353,026,521/14,020
  6. Step 6: Final answer
    x = 25,180.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.