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Finding the Third Proportional to 14,966 and 22,159

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Solution

The third proportional to 14,966 and 22,159 is: 32,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966 : 22,159 = 22,159 : x
  2. Step 2: Convert to fraction form
    14,966/22,159 = 22,159/x
  3. Step 3: Cross multiply
    14,966x = 22,159 × 22,159
  4. Step 4: Simplify right side
    14,966x = 491,021,281
  5. Step 5: Solve for x
    x = 491,021,281/14,966
  6. Step 6: Final answer
    x = 32,809.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.