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Finding the Third Proportional to 13,498 and 19,756

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Solution

The third proportional to 13,498 and 19,756 is: 28,915.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498 : 19,756 = 19,756 : x
  2. Step 2: Convert to fraction form
    13,498/19,756 = 19,756/x
  3. Step 3: Cross multiply
    13,498x = 19,756 × 19,756
  4. Step 4: Simplify right side
    13,498x = 390,299,536
  5. Step 5: Solve for x
    x = 390,299,536/13,498
  6. Step 6: Final answer
    x = 28,915.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.