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Finding the Third Proportional to 13,498 and 14,938

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Solution

The third proportional to 13,498 and 14,938 is: 16,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498 : 14,938 = 14,938 : x
  2. Step 2: Convert to fraction form
    13,498/14,938 = 14,938/x
  3. Step 3: Cross multiply
    13,498x = 14,938 × 14,938
  4. Step 4: Simplify right side
    13,498x = 223,143,844
  5. Step 5: Solve for x
    x = 223,143,844/13,498
  6. Step 6: Final answer
    x = 16,531.62

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.