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Finding the Third Proportional to 14,444 and 21,569

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Solution

The third proportional to 14,444 and 21,569 is: 32,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,444 : 21,569 = 21,569 : x
  2. Step 2: Convert to fraction form
    14,444/21,569 = 21,569/x
  3. Step 3: Cross multiply
    14,444x = 21,569 × 21,569
  4. Step 4: Simplify right side
    14,444x = 465,221,761
  5. Step 5: Solve for x
    x = 465,221,761/14,444
  6. Step 6: Final answer
    x = 32,208.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.