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Finding the Third Proportional to 9,851 and 14,776

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Solution

The third proportional to 9,851 and 14,776 is: 22,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851 : 14,776 = 14,776 : x
  2. Step 2: Convert to fraction form
    9,851/14,776 = 14,776/x
  3. Step 3: Cross multiply
    9,851x = 14,776 × 14,776
  4. Step 4: Simplify right side
    9,851x = 218,330,176
  5. Step 5: Solve for x
    x = 218,330,176/9,851
  6. Step 6: Final answer
    x = 22,163.25

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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.