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Finding the Third Proportional to 13,490 and 19,011

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Solution

The third proportional to 13,490 and 19,011 is: 26,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490 : 19,011 = 19,011 : x
  2. Step 2: Convert to fraction form
    13,490/19,011 = 19,011/x
  3. Step 3: Cross multiply
    13,490x = 19,011 × 19,011
  4. Step 4: Simplify right side
    13,490x = 361,418,121
  5. Step 5: Solve for x
    x = 361,418,121/13,490
  6. Step 6: Final answer
    x = 26,791.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.