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Finding the Third Proportional to 14,685 and 22,099

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Solution

The third proportional to 14,685 and 22,099 is: 33,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685 : 22,099 = 22,099 : x
  2. Step 2: Convert to fraction form
    14,685/22,099 = 22,099/x
  3. Step 3: Cross multiply
    14,685x = 22,099 × 22,099
  4. Step 4: Simplify right side
    14,685x = 488,365,801
  5. Step 5: Solve for x
    x = 488,365,801/14,685
  6. Step 6: Final answer
    x = 33,256.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.