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Finding the Third Proportional to 14,026 and 18,510

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Solution

The third proportional to 14,026 and 18,510 is: 24,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026 : 18,510 = 18,510 : x
  2. Step 2: Convert to fraction form
    14,026/18,510 = 18,510/x
  3. Step 3: Cross multiply
    14,026x = 18,510 × 18,510
  4. Step 4: Simplify right side
    14,026x = 342,620,100
  5. Step 5: Solve for x
    x = 342,620,100/14,026
  6. Step 6: Final answer
    x = 24,427.50

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.