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Finding the Third Proportional to 14,966 and 21,752

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Solution

The third proportional to 14,966 and 21,752 is: 31,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966 : 21,752 = 21,752 : x
  2. Step 2: Convert to fraction form
    14,966/21,752 = 21,752/x
  3. Step 3: Cross multiply
    14,966x = 21,752 × 21,752
  4. Step 4: Simplify right side
    14,966x = 473,149,504
  5. Step 5: Solve for x
    x = 473,149,504/14,966
  6. Step 6: Final answer
    x = 31,614.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.