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Finding the Third Proportional to 13,526 and 19,041

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Solution

The third proportional to 13,526 and 19,041 is: 26,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526 : 19,041 = 19,041 : x
  2. Step 2: Convert to fraction form
    13,526/19,041 = 19,041/x
  3. Step 3: Cross multiply
    13,526x = 19,041 × 19,041
  4. Step 4: Simplify right side
    13,526x = 362,559,681
  5. Step 5: Solve for x
    x = 362,559,681/13,526
  6. Step 6: Final answer
    x = 26,804.65

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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.