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Finding the Third Proportional to 9,085 and 14,072

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Solution

The third proportional to 9,085 and 14,072 is: 21,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085 : 14,072 = 14,072 : x
  2. Step 2: Convert to fraction form
    9,085/14,072 = 14,072/x
  3. Step 3: Cross multiply
    9,085x = 14,072 × 14,072
  4. Step 4: Simplify right side
    9,085x = 198,021,184
  5. Step 5: Solve for x
    x = 198,021,184/9,085
  6. Step 6: Final answer
    x = 21,796.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.