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Finding the Third Proportional to 14,569 and 27,102

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Solution

The third proportional to 14,569 and 27,102 is: 50,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569 : 27,102 = 27,102 : x
  2. Step 2: Convert to fraction form
    14,569/27,102 = 27,102/x
  3. Step 3: Cross multiply
    14,569x = 27,102 × 27,102
  4. Step 4: Simplify right side
    14,569x = 734,518,404
  5. Step 5: Solve for x
    x = 734,518,404/14,569
  6. Step 6: Final answer
    x = 50,416.53

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.