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Finding the Third Proportional to 9,851 and 14,778

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Solution

The third proportional to 9,851 and 14,778 is: 22,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851 : 14,778 = 14,778 : x
  2. Step 2: Convert to fraction form
    9,851/14,778 = 14,778/x
  3. Step 3: Cross multiply
    9,851x = 14,778 × 14,778
  4. Step 4: Simplify right side
    9,851x = 218,389,284
  5. Step 5: Solve for x
    x = 218,389,284/9,851
  6. Step 6: Final answer
    x = 22,169.25

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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.