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Finding the Third Proportional to 14,742 and 21,907

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Solution

The third proportional to 14,742 and 21,907 is: 32,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 21,907 = 21,907 : x
  2. Step 2: Convert to fraction form
    14,742/21,907 = 21,907/x
  3. Step 3: Cross multiply
    14,742x = 21,907 × 21,907
  4. Step 4: Simplify right side
    14,742x = 479,916,649
  5. Step 5: Solve for x
    x = 479,916,649/14,742
  6. Step 6: Final answer
    x = 32,554.38

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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.