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Finding the Third Proportional to 14,446 and 22,985

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Solution

The third proportional to 14,446 and 22,985 is: 36,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446 : 22,985 = 22,985 : x
  2. Step 2: Convert to fraction form
    14,446/22,985 = 22,985/x
  3. Step 3: Cross multiply
    14,446x = 22,985 × 22,985
  4. Step 4: Simplify right side
    14,446x = 528,310,225
  5. Step 5: Solve for x
    x = 528,310,225/14,446
  6. Step 6: Final answer
    x = 36,571.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.